99999...99991 (105-digits)

This number is a prime.

                                      99999 9999999999 9999999999 9999999999
9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999991

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The smallest near-repdigit prime of the form p=10^x-9 greater than a googol (case x=105). [Loungrides]