101075338824 has 64 divisors (see below), whose sum is σ = 257046048000. Its totient is φ = 33111086400.

The previous prime is 101075338823. The next prime is 101075338853. The reversal of 101075338824 is 428833570101.

It is not an unprimeable number, because it can be changed into a prime (101075338823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6135799 + ... + 6152249.

It is an arithmetic number, because the mean of its divisors is an integer number (4016344500).

Almost surely, 2^101075338824 is an apocalyptic number.

It is an amenable number.

101075338824 is an abundant number, since it is smaller than the sum of its proper divisors (155970709176).

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

101075338824 is a wasteful number, since it uses less digits than its factorization.

101075338824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20858 (or 20854 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 101075338824 in words is "one hundred one billion, seventy-five million, three hundred thirty-eight thousand, eight hundred twenty-four".