100110012120 has 96 divisors (see below), whose sum is σ = 325507150800. Its totient is φ = 26683727616.

The previous prime is 100110012113. The next prime is 100110012181. The reversal of 100110012120 is 21210011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 733851 + ... + 859509.

Almost surely, 2^100110012120 is an apocalyptic number.

100110012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110012120 is an abundant number, since it is smaller than the sum of its proper divisors (225397138680).

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

100110012120 is a wasteful number, since it uses less digits than its factorization.

100110012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127889 (or 127882 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100110012120 its reverse (21210011001), we get a palindrome (121320023121).

The spelling of 100110012120 in words is "one hundred billion, one hundred ten million, twelve thousand, one hundred twenty".