101122233031332 has 72 divisors (see below), whose sum is σ = 258715856599200. Its totient is φ = 33298513240320.

The previous prime is 101122233031321. The next prime is 101122233031361. The reversal of 101122233031332 is 233130332221101.

101122233031332 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 2 + 23 + 303 + 1 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101122233031296 and 101122233031305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34480044 + ... + 37297692.

It is an arithmetic number, because the mean of its divisors is an integer number (3593275786100).

Almost surely, 2^{101122233031332} is an apocalyptic number.

101122233031332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122233031332 is an abundant number, since it is smaller than the sum of its proper divisors (157593623567868).

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

101122233031332 is a wasteful number, since it uses less digits than its factorization.

101122233031332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829753 (or 2829748 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101122233031332 its reverse (233130332221101), we get a palindrome (334252565252433).

The spelling of 101122233031332 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred thirty-three million, thirty-one thousand, three hundred thirty-two".