100179171130944 has 112 divisors (see below), whose sum is σ = 277971484492800. Its totient is φ = 31780676252160.

The previous prime is 100179171130919. The next prime is 100179171130957. The reversal of 100179171130944 is 449031171971001.

It is a super-2 number, since 2×100179171130944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 100179171130893 and 100179171130902.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56119962 + ... + 57877529.

It is an arithmetic number, because the mean of its divisors is an integer number (2481888254400).

Almost surely, 2^{100179171130944} is an apocalyptic number.

It is an amenable number.

100179171130944 is an abundant number, since it is smaller than the sum of its proper divisors (177792313361856).

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

100179171130944 is a wasteful number, since it uses less digits than its factorization.

100179171130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113997728 (or 113997718 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 48.

The spelling of 100179171130944 in words is "one hundred trillion, one hundred seventy-nine billion, one hundred seventy-one million, one hundred thirty thousand, nine hundred forty-four".