11911...11111 (122-digits)

This number is a prime.

                   11 9111111111 1111111111 1111111111 1111111111 1111111111
1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111111

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The smallest near-repunit prime greater than a googol, consisting of a number n followed by n 1's (n=119). [Loungrides]