100133112977100 has 1296 divisors, whose sum is σ = 424621397491200. Its totient is φ = 19520145469440.

The previous prime is 100133112977099. The next prime is 100133112977207. The reversal of 100133112977100 is 1779211331001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 327466081 + ... + 327771719.

It is an arithmetic number, because the mean of its divisors is an integer number (327639967200).

Almost surely, 2^{100133112977100} is an apocalyptic number.

100133112977100 is a gapful number since it is divisible by the number (10) 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 100133112977100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212310698745600).

100133112977100 is an abundant number, since it is smaller than the sum of its proper divisors (324488284514100).

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

100133112977100 is a wasteful number, since it uses less digits than its factorization.

100133112977100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305732 (or 305715 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 100133112977100 in words is "one hundred trillion, one hundred thirty-three billion, one hundred twelve million, nine hundred seventy-seven thousand, one hundred".