100320112000 has 512 divisors, whose sum is σ = 273469996800. Its totient is φ = 36495360000.

The previous prime is 100320111989. The next prime is 100320112001. The reversal of 100320112000 is 211023001.

100320112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 920367946 + ... + 920368054.

Almost surely, 2^100320112000 is an apocalyptic number.

100320112000 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 100320112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136734998400).

100320112000 is an abundant number, since it is smaller than the sum of its proper divisors (173149884800).

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

100320112000 is a wasteful number, since it uses less digits than its factorization.

100320112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100320112000 its reverse (211023001), we get a palindrome (100531135001).

The spelling of 100320112000 in words is "one hundred billion, three hundred twenty million, one hundred twelve thousand".