100332321120 has 144 divisors (see below), whose sum is σ = 360404357040. Its totient is φ = 25347105792.

The previous prime is 100332321109. The next prime is 100332321127. The reversal of 100332321120 is 21123233001.

100332321120 is a `hidden beast` number, since 1 + 0 + 0 + 332 + 321 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×100332321120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100332321093 and 100332321102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332321127) 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, 1806199 + ... + 1860918.

It is an arithmetic number, because the mean of its divisors is an integer number (2502808035).

Almost surely, 2^100332321120 is an apocalyptic number.

100332321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100332321120 is an abundant number, since it is smaller than the sum of its proper divisors (260072035920).

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

100332321120 is a wasteful number, since it uses less digits than its factorization.

100332321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667157 (or 3667146 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100332321120 its reverse (21123233001), we get a palindrome (121455554121).

The spelling of 100332321120 in words is "one hundred billion, three hundred thirty-two million, three hundred twenty-one thousand, one hundred twenty".