101

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101 (one hundred [and] one) is the natural number following 100 and preceding 102.
It is variously pronounced "one hundred and one" / "a hundred and one", "one hundred one" / "a hundred one", and "one oh one". As an ordinal number, 101st rather than 101th is the correct form.

101
Cardinal one hundred [and] one
Ordinal 101st
(one hundred [and] first)
Numeral system 101
Factorization prime
Prime 26th
Divisors 1, 101
Roman numeral CI
Binary 11001012
Octal 1458
Duodecimal 8512
Hexadecimal 6516
Contents

In mathematics

101 is the 26th prime number and a palindromic number (and so a palindromic prime). The next prime is 103, with which it makes a twin prime pair, making 101 a Chen prime. Because the period length of its reciprocal is unique among primes, 101 is a unique prime. 101 is an Eisenstein prime with no imaginary part and real part of the form 3n - 1. 101 is the only prime with alternating 1 s and 0 s.

101 is the sum of five consecutive primes (13 + 17 + 19 + 23 + 29). Given 101, the Mertens function returns 0. 101 is the fifth alternating factorial.

101 is a centered decagonal number.

The decimal representation of 2^101-1 is 2 535301 200456 458802 993406 410751. The prime decomposition of that is 7 432339 208719 x 341117 531003 194129 [1]

For a 3-digit number in base 10, this number has a relatively simple divisibility test. The candidate number is split into groups of four, starting with the rightmost four, and added up to produce a 4-digit number. If this 4-digit number is of the form 1000a + 100b + 10a + b (where a and b are integers from 0 to 9), such as 3232 or 9797, or of the form 100b + b, such as 707 and 808, then the number is divisible by 101. This might not be as simple as the divisibility tests for numbers like 3 or 5, and it might not be terribly practical, but it is simpler than the divisibility tests for other 3-digit numbers.[citation needed]

On the seven-segment display of a calculator, 101 is both a strobogrammatic prime and a dihedral prime.

In science

  • In mineralogy, a Miller index of 101 is a crystal face that crosses the horizontal axis (a) and 3d vertical axis (c) but does not cross the 2d vertical axis (b).
  • In physics and chemistry, it is the atomic number of mendelevium, an actinide.

In books

According to Books in Print, more books are now published with a title that begins with '101' than '100'. They usually describe or discuss a list of items, such as 101 Ways to... or 101 Questions and Answers About... . This marketing tool is used to imply that the customer is given a little extra information beyond books that include only 100 items. Some books have taken this marketing scheme even further with titles that begin with '102', '103', or '1001'. The number is used in this context as a slang term when referring to "a 101 document" what is usually referred to as a statistical survey or overview of some topic.

Room 101 is a torture chamber in the novel Nineteen Eighty-Four by George Orwell.

In other fields

References

  1. ^ http://www.alpertron.com.ar/ECM.HTM
  2. ^ Engber, Daniel (6 September 2006), ""101 101: How did intro classes get their trademark number?", Slate, http://www.slate.com/id/2149082/ 
  3. ^ 101, Dictionary.com, http://dictionary.reference.com/search?q=101 
  4. ^ At universities with four-digit course numbers, the equivalent course number is 1001 or 1010. This use is unheard of in the United Kingdom.[citation needed]
  5. ^ 101-Key "Enhanced" Keyboard Layout, PC Guide, http://www.pcguide.com/ref/kb/layout/stdEnh101-c.html, retrieved 2009-05-04 
  6. ^ Welcome to 101, Home Office, http://www.101.gov.uk, retrieved 2009-04-05 
  7. ^ iCar 101 - The ultimate roadable aircraft, http://www.iCar-101.com, retrieved 2010-08-06 

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