101111111107 has 2 divisors, whose sum is σ = 101111111108. Its totient is φ = 101111111106.

The previous prime is 101111111069. The next prime is 101111111111. The reversal of 101111111107 is 701111111101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111111107 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111111177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555553 + 50555555554.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555554).

Almost surely, 2^101111111107 is an apocalyptic number.

101111111107 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111111107 is an equidigital number, since it uses as much as digits as its factorization.

101111111107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 16.

Adding to 101111111107 its reverse (701111111101), we get a palindrome (802222222208).

The spelling of 101111111107 in words is "one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred seven".