It's worth 25 cents.
The U.S. quarter issued in 2001 for NY features the Statue of Liberty on the back, and has the sillouett of New York behind it.
New York Central - 2001 was released on: USA: 1 January 2001 (New York City, New York)
New York Voices - 2001 was released on: USA: 17 November 2001 (New York City, New York)
New York's population in 2001 was 19.08 million.
That's just a state quarter. 1788 is the year New York became a state, and 2001 is when the coin was minted. If it's gold, then someone gold-plated a regular quarter. It doesn't add any value for a collector, as it's now more of a novelty or souvenir. It's only worth as much as someone is willing to pay.
See How They Run - 2001 was released on: USA: October 2001 (New York City, New York) USA: October 2001 (IFP New York)
Warm - 2001 was released on: USA: 2001 (New York City, New York)
new York
Merde--- - 2001 was released on: USA: 15 June 2001 (New York City, New York)
Antiquity - 2001 was released on: USA: 15 May 2001 (New York City, New York)
Nitwit - 2001 was released on: USA: 9 March 2001 (New York City, New York)
The Blue Marble - 2001 was released on: USA: 2001 (New York City, New York)