100112001313200 has 480 divisors, whose sum is σ = 333683522125824. Its totient is φ = 25629609600000.

The previous prime is 100112001313151. The next prime is 100112001313213. The reversal of 100112001313200 is 2313100211001.

It is a happy number.

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 100112001313200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2441080695 + ... + 2441121705.

Almost surely, 2^{100112001313200} is an apocalyptic number.

100112001313200 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 100112001313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166841761062912).

100112001313200 is an abundant number, since it is smaller than the sum of its proper divisors (233571520812624).

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

100112001313200 is a wasteful number, since it uses less digits than its factorization.

100112001313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41585 (or 41574 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100112001313200 its reverse (2313100211001), we get a palindrome (102425101524201).

The spelling of 100112001313200 in words is "one hundred trillion, one hundred twelve billion, one million, three hundred thirteen thousand, two hundred".