100012110120 has 96 divisors (see below), whose sum is σ = 350042401800. Its totient is φ = 24618364416.

The previous prime is 100012110113. The next prime is 100012110203. The reversal of 100012110120 is 21011210001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92125604484 + 7886505636 = 303522^2 + 88806^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10680375 + ... + 10689734.

Almost surely, 2^100012110120 is an apocalyptic number.

100012110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012110120 is an abundant number, since it is smaller than the sum of its proper divisors (250030291680).

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

100012110120 is a wasteful number, since it uses less digits than its factorization.

100012110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21370139 (or 21370132 counting only the distinct ones).

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

Adding to 100012110120 its reverse (21011210001), we get a palindrome (121023320121).

The spelling of 100012110120 in words is "one hundred billion, twelve million, one hundred ten thousand, one hundred twenty".