100118408591712 has 192 divisors, whose sum is σ = 300528924917760. Its totient is φ = 28588723075584.

The previous prime is 100118408591711. The next prime is 100118408591717. The reversal of 100118408591712 is 217195804811001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100118408591711) 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 31 ways as a sum of consecutive naturals, for example, 13984967589 + ... + 13984974747.

It is an arithmetic number, because the mean of its divisors is an integer number (1565254817280).

Almost surely, 2^{100118408591712} is an apocalyptic number.

100118408591712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100118408591712 is an abundant number, since it is smaller than the sum of its proper divisors (200410516326048).

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

100118408591712 is a wasteful number, since it uses less digits than its factorization.

100118408591712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16305 (or 16297 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 48.

The spelling of 100118408591712 in words is "one hundred trillion, one hundred eighteen billion, four hundred eight million, five hundred ninety-one thousand, seven hundred twelve".