100992092658912 has 1008 divisors, whose sum is σ = 374054311849680. Its totient is φ = 26592280694784.

The previous prime is 100992092658851. The next prime is 100992092658959. The reversal of 100992092658912 is 219856290299001.

100992092658912 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 9 + 20 + 9 + 26 + 589 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 100992092658912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9792692668 + ... + 9792702980.

It is an arithmetic number, because the mean of its divisors is an integer number (371085626835).

Almost surely, 2^{100992092658912} is an apocalyptic number.

100992092658912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100992092658912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187027155924840).

100992092658912 is an abundant number, since it is smaller than the sum of its proper divisors (273062219190768).

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

100992092658912 is a wasteful number, since it uses less digits than its factorization.

100992092658912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11027 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 100992092658912 in words is "one hundred trillion, nine hundred ninety-two billion, ninety-two million, six hundred fifty-eight thousand, nine hundred twelve".