100100156016006 has 32 divisors (see below), whose sum is σ = 222445423962720. Its totient is φ = 33366623749632.

The previous prime is 100100156015987. The next prime is 100100156016041. The reversal of 100100156016006 is 600610651001001.

100100156016006 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 0 + 1 + 56 + 0 + 1 + 600 + 6 = 666.

It is a super-3 number, since 3×100100156016006³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

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, 18003126 + ... + 22897878.

It is an arithmetic number, because the mean of its divisors is an integer number (6951419498835).

Almost surely, 2^{100100156016006} is an apocalyptic number.

100100156016006 is an abundant number, since it is smaller than the sum of its proper divisors (122345267946714).

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

100100156016006 is a wasteful number, since it uses less digits than its factorization.

100100156016006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273477 (or 5273471 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 100100156016006 in words is "one hundred trillion, one hundred billion, one hundred fifty-six million, sixteen thousand, six".