What is the value of a 1801 John Adams 1 coin?

I suspect that you are referring to the "golden dollar" in the Presidential Dollar series with a portrait of John Adams and the dates "1797-1801" (his term of office as the 2nd President of the United States) on the obverse. The coin was minted in 2007 (the date and mint mark are on the edge), is not made of gold (it is actually composed of 88.5% copper, 6% zinc, 3.5% manganese and 2% nickel), has a face value of one dollar, and (unless you have a proof example) is worth only about a dollar to a collector.