100100322120 has 32 divisors (see below), whose sum is σ = 300300966720. Its totient is φ = 26693419200.

The previous prime is 100100322083. The next prime is 100100322143. The reversal of 100100322120 is 21223001001.

It is a super-2 number, since 2×100100322120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100100322096 and 100100322105.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 417084556 + ... + 417084795.

It is an arithmetic number, because the mean of its divisors is an integer number (9384405210).

Almost surely, 2^100100322120 is an apocalyptic number.

100100322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100322120 is an abundant number, since it is smaller than the sum of its proper divisors (200200644600).

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

100100322120 is a wasteful number, since it uses less digits than its factorization.

100100322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834169365 (or 834169361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100100322120 its reverse (21223001001), we get a palindrome (121323323121).

The spelling of 100100322120 in words is "one hundred billion, one hundred million, three hundred twenty-two thousand, one hundred twenty".