If S is the product of the integers from 1 to 100, inclusive, and T is the product of the integers from 1 to 101, inclusive, what is 1/S+1/T in terms of T ?

GMAT QUANT Problem Solving level 600, Arithmetic
If S is the product of the integers from 1 to 100, inclusive, and T is the product of the integers from 1 to 101, inclusive, what is 1/S+1/T in terms of T ?

A)T/101
B)T/100+100
C)100+T/T
D)102/T
E)T+1/100