100131164100 has 216 divisors, whose sum is σ = 349674369408. Its totient is φ = 23757638400.

The previous prime is 100131164087. The next prime is 100131164117. The reversal of 100131164100 is 1461131001.

100131164100 is a `hidden beast` number, since 1 + 0 + 0 + 13 + 11 + 641 + 0 + 0 = 666.

It is a super-2 number, since 2×100131164100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 357702 + ... + 572898.

Almost surely, 2^100131164100 is an apocalyptic number.

100131164100 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 100131164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174837184704).

100131164100 is an abundant number, since it is smaller than the sum of its proper divisors (249543205308).

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

100131164100 is a wasteful number, since it uses less digits than its factorization.

100131164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215275 (or 215265 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100131164100 its reverse (1461131001), we get a palindrome (101592295101).

The spelling of 100131164100 in words is "one hundred billion, one hundred thirty-one million, one hundred sixty-four thousand, one hundred".