101010111100992 has 84 divisors (see below), whose sum is σ = 294273593924076. Its totient is φ = 33118069201920.

The previous prime is 101010111100991. The next prime is 101010111100993. The reversal of 101010111100992 is 299001111010101.

It is an interprime number because it is at equal distance from previous prime (101010111100991) and next prime (101010111100993).

It can be written as a sum of positive squares in 2 ways, for example, as 21959945588736 + 79050165512256 = 4686144^2 + 8891016^2 .

It is not an unprimeable number, because it can be changed into a prime (101010111100991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1437381063 + ... + 1437451334.

Almost surely, 2^{101010111100992} is an apocalyptic number.

101010111100992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101010111100992 is an abundant number, since it is smaller than the sum of its proper divisors (193263482823084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101010111100992 is a wasteful number, since it uses less digits than its factorization.

101010111100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874832476 (or 2874832463 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 27.

The spelling of 101010111100992 in words is "one hundred one trillion, ten billion, one hundred eleven million, one hundred thousand, nine hundred ninety-two".