If a = 2¹⁰⁰0, b = 3⁶⁰0, and c = 10³⁰0, and a, b, and c are arranged from smallest to largest, which of the following is correct?
1) a < b < c
2) a < c < b
3) b < a < c
4) b < c < a
5) c < a < b
6) c < b < a