It depends on two things--the mint mark [the little letter beneath the date] and the condition of the coin. generally, in well-worn condition, you might be able to pick up 10 cents or so, maybe a little more if it's got a D or and S there.
if it's in better condition, you might very well be able to pick up a few dollars off of it.
But again, all in all it would depend on the mint mark [if any] and the condition.
Note:There really isn't any coin called a "one cent penny". Despite slang usage the 1¢ coins of the US and Canada are really just cents, while the 1d and 1p coins of Britain are true pennies.Depending on which you're referring to please see the Related Questions for more information.
One cent
One cent
One cent
It's worth exactly one cent.
One cent.
one cent
One cent
one cent
One cent.
one cent
It is worth one cent.
one cent. OR $.01
One cent. That is it.
One cent
One cent, it's only a penny
Value is one cent, or face value.
One penny equals on cent. Is that not simple enough?