10101011110992 has 60 divisors (see below), whose sum is σ = 29931672637620. Its totient is φ = 3168944661504.

The previous prime is 10101011110973. The next prime is 10101011110999. The reversal of 10101011110992 is 29901111010101.

It can be written as a sum of positive squares in 2 ways, for example, as 2683319191056 + 7417691919936 = 1638084^2 + 2723544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101011110999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2063112567 + ... + 2063117462.

It is an arithmetic number, because the mean of its divisors is an integer number (498861210627).

Almost surely, 2^{10101011110992} is an apocalyptic number.

10101011110992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101011110992 is an abundant number, since it is smaller than the sum of its proper divisors (19830661526628).

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

10101011110992 is a wasteful number, since it uses less digits than its factorization.

10101011110992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126230060 (or 4126230051 counting only the distinct ones).

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

The spelling of 10101011110992 in words is "ten trillion, one hundred one billion, eleven million, one hundred ten thousand, nine hundred ninety-two".