100231112400 has 120 divisors (see below), whose sum is σ = 323044070880. Its totient is φ = 26564267520.

The previous prime is 100231112381. The next prime is 100231112411. The reversal of 100231112400 is 4211132001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100231112400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60615 + ... + 451814.

It is an arithmetic number, because the mean of its divisors is an integer number (2692033924).

Almost surely, 2^100231112400 is an apocalyptic number.

100231112400 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 100231112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161522035440).

100231112400 is an abundant number, since it is smaller than the sum of its proper divisors (222812958480).

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

100231112400 is a wasteful number, since it uses less digits than its factorization.

100231112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512613 (or 512602 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100231112400 its reverse (4211132001), we get a palindrome (104442244401).

The spelling of 100231112400 in words is "one hundred billion, two hundred thirty-one million, one hundred twelve thousand, four hundred".