100112003103200 has 432 divisors, whose sum is σ = 274775844720384. Its totient is φ = 35322389452800.

The previous prime is 100112003103179. The next prime is 100112003103239. The reversal of 100112003103200 is 2301300211001.

It is a congruent number.

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, 4421311079 + ... + 4421333721.

It is an arithmetic number, because the mean of its divisors is an integer number (636055196112).

Almost surely, 2^{100112003103200} is an apocalyptic number.

100112003103200 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 100112003103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137387922360192).

100112003103200 is an abundant number, since it is smaller than the sum of its proper divisors (174663841617184).

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

100112003103200 is a wasteful number, since it uses less digits than its factorization.

100112003103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23115 (or 23065 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100112003103200 its reverse (2301300211001), we get a palindrome (102413303314201).

The spelling of 100112003103200 in words is "one hundred trillion, one hundred twelve billion, three million, one hundred three thousand, two hundred".