10000...01111 (101-digits)

This number is a prime.

                                          1 0000000000 0000000000 0000000000
0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0101101111

The smallest prime greater than a googol which contains the digits 0 and 1 only. [Gupta]