Ron Guth: The 1801 Dollar has a low mintage of just over 54,000 coins, which is a low number by any standard, but the 1801 is still an under-appreciated rarity. For example, in the 2012 GUIDEBOOK, the 1801 Dollar is priced the same as the 1800 Dollar in virtually all grades, and shows just a slight premium in MS-60. The reality of the PCGS Population Report shows a different picture. The surviving population of the 1801 Dollar (as of November 2011) is considerably lower any other date of the Heraldic Eagle reverse type, including the 1802, which has a lower mintage just over 41,000 coins. Similarly, the 1801 Dollar has a lower population in Mint State than any other date. This indicates that the pricing on the 1801 Dollar should be higher to account for this difference.
PCGS has certified less than a dozen Mint State 1801 Dollars, the finest of which is a single Gem MS-65.