What is the value of a 2001 silver dime?

Except for some special "Prestige" proof coins issued in 1993 and later, all dimes since 1965 have been struck in cupronickel, not silver.

If you have a 2001-S Prestige proof, it's worth anywhere from $1.50 to $7.00 depending on quality.

If it has a P or D mint mark it's copper-nickel. Check your pocket change and you'll find others. They're all worth 10 cents.