100106262302112 has 72 divisors (see below), whose sum is σ = 310556927378880. Its totient is φ = 30335230999680.

The previous prime is 100106262302099. The next prime is 100106262302149. The reversal of 100106262302112 is 211203262601001.

100106262302112 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 6 + 2 + 623 + 0 + 21 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15799596312 + ... + 15799602647.

It is an arithmetic number, because the mean of its divisors is an integer number (4313290658040).

Almost surely, 2^{100106262302112} is an apocalyptic number.

100106262302112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100106262302112 is an abundant number, since it is smaller than the sum of its proper divisors (210450665076768).

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

100106262302112 is a wasteful number, since it uses less digits than its factorization.

100106262302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31599198986 (or 31599198975 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 100106262302112 in words is "one hundred trillion, one hundred six billion, two hundred sixty-two million, three hundred two thousand, one hundred twelve".