Reciprocal of 9801

Theorem
The reciprocal of $9801$ is:
 * $\dfrac 1 {9801} = 0 \cdotp \dot 00010 \, 20304 \, 05060 \, 70809 \, 10111 \, 21314 \, ... \, 94959 \, 6979 \dot 9$