101111109999631 has 2 divisors, whose sum is σ = 101111109999632. Its totient is φ = 101111109999630.

The previous prime is 101111109999481. The next prime is 101111109999659. The reversal of 101111109999631 is 136999901111101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111109999631 is a prime.

It is a super-2 number, since 2×101111109999631² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111109999931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555554999815 + 50555554999816.

It is an arithmetic number, because the mean of its divisors is an integer number (50555554999816).

Almost surely, 2^{101111109999631} is an apocalyptic number.

101111109999631 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111109999631 is an equidigital number, since it uses as much as digits as its factorization.

101111109999631 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 118098, while the sum is 52.

The spelling of 101111109999631 in words is "one hundred one trillion, one hundred eleven billion, one hundred nine million, nine hundred ninety-nine thousand, six hundred thirty-one".