101938524912 has 120 divisors (see below), whose sum is σ = 330633838080. Its totient is φ = 28715057280.

The previous prime is 101938524901. The next prime is 101938524971. The reversal of 101938524912 is 219425839101.

101938524912 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 38 + 524 + 91 + 2 = 666.

It is a super-2 number, since 2×101938524912² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 640612 + ... + 783747.

It is an arithmetic number, because the mean of its divisors is an integer number (2755281984).

Almost surely, 2^101938524912 is an apocalyptic number.

101938524912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101938524912 is an abundant number, since it is smaller than the sum of its proper divisors (228695313168).

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

101938524912 is a wasteful number, since it uses less digits than its factorization.

101938524912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424451 (or 1424442 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 101938524912 in words is "one hundred one billion, nine hundred thirty-eight million, five hundred twenty-four thousand, nine hundred twelve".