What is the remainder of 10^2017 divided by 1001?

This probably incorporates some number theory, which I'm not good at. RIP

Note: When I use the double equal sign, I mean the triple bar used with modular arithmetic

10^3 = 1000 = = - 1 (mod 1001)

10^3 = = - 1 (mod 1001)

(10^3) ^672 = = (-1) ^672 (mod 1001)

(10^ (3*672) = = 1 (mod 1001)

10^2016 = = 1 (mod 1001)

10*10^2016 = = 10*1 (mod 1001)

10^2017 = = 10 (mod 1001)

Final Answer: 10