The lady is Miss Liberty, as in "Statue of ..."
Two types of dollar coin were minted in 1921 so it's important to know which you have. There's more information at the Related Questions: if the coin has a spread-wing eagle on the back see the question about Morgan dollars. If it has the word PEACE under the eagle, see the question about Peace dollars.
what is a 1921 liberty head gold one dollar coin worth
Assuming it's a more common Morgan dollar, about $13 for its silver content
Please look at the coin again, no Us one dollar goldcoins dated 1921 were ever struck.
Two different types of silver dollars were struck in 1921 a Morgan Dollar and a Peace Dollar. On the front of the Morgan dollar above Liberty's head is E PLURIBUS UNUM and circulated coins are valued at $15.00-$19.00. The Peace dollar has the word Liberty above her head and circulated coins are valued at $85.00-$185.00
Nothing, because it's a fake.
what is a 1921 liberty head gold one dollar coin worth
Assuming it's a more common Morgan dollar, about $13 for its silver content
In 1921 two types silver dollars were issued and the values are very different. If the coin has the motto E PLURIBUS UNUM above Liberty's Head it's a Morgan dollar and the value is $37.00-$41.00 for a circulated coin. If the coin has the word Liberty above her head it's a Peace dollar and the value for a circulated coin is $80.00-$175.00 Both coins are dated 1921.
Please look at the coin again, no Us one dollar goldcoins dated 1921 were ever struck.
Two different types of silver dollars were struck in 1921 a Morgan Dollar and a Peace Dollar. On the front of the Morgan dollar above Liberty's head is E PLURIBUS UNUM and circulated coins are valued at $15.00-$19.00. The Peace dollar has the word Liberty above her head and circulated coins are valued at $85.00-$185.00
Nothing, because it's a fake.
Circulated condition $20.00 to $40.00
$60.00 to $80.00 in circulated condition.
7-27-11>>> For the year 1921 two silver dollars were issued and each is a separate series of dollar coins and the designs are very different. But because of the fact you used the motto E PLURIBUS UNUM in your question, it appears on the front of the coin above Miss Liberty's head and the coin is a MORGAN dollar. The 1921 Morgan dollar is the most common of all Morgan dollars, circulated coins run from $37.00-$44.00.
It depends on which 1921 silver dollar you have. 1921 was the last year for Morgan dollars and the first year for Peace dollars. On the front of a Morgan above Liberty's head is the Latin phrase E Pluribus Unum. The Peace dollar has the word Liberty above the head and on the back of this coin under the eagle is the word Peace. The values between the two are very different. A 1921 Morgan dollar in average circulated condition runs from $14.00 to $19.00. and a 1921 Peace dollar runs from $70.00 to $150.00 in average circulated condition.
A 1902 Morgan still in collectible condition is worth about $33.00
Minimum of $24, one in perfect condition can be worth $8100 or more.