100131112400 has 120 divisors (see below), whose sum is σ = 268018809984. Its totient is φ = 35636531200.

The previous prime is 100131112337. The next prime is 100131112409. The reversal of 100131112400 is 4211131001.

It is a super-2 number, since 2×100131112400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131112409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35297 + ... + 448896.

Almost surely, 2^100131112400 is an apocalyptic number.

100131112400 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 100131112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134009404992).

100131112400 is an abundant number, since it is smaller than the sum of its proper divisors (167887697584).

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

100131112400 is a wasteful number, since it uses less digits than its factorization.

100131112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484269 (or 484258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100131112400 its reverse (4211131001), we get a palindrome (104342243401).

The spelling of 100131112400 in words is "one hundred billion, one hundred thirty-one million, one hundred twelve thousand, four hundred".