100300012120 has 96 divisors (see below), whose sum is σ = 283492692000. Its totient is φ = 31262330880.

The previous prime is 100300012063. The next prime is 100300012147. The reversal of 100300012120 is 21210003001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100300012097 and 100300012106.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1446345 + ... + 1514104.

It is an arithmetic number, because the mean of its divisors is an integer number (2953048875).

Almost surely, 2^100300012120 is an apocalyptic number.

100300012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100300012120 is an abundant number, since it is smaller than the sum of its proper divisors (183192679880).

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

100300012120 is a wasteful number, since it uses less digits than its factorization.

100300012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960489 (or 2960474 counting only the distinct ones).

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

Adding to 100300012120 its reverse (21210003001), we get a palindrome (121510015121).

The spelling of 100300012120 in words is "one hundred billion, three hundred million, twelve thousand, one hundred twenty".