100010000112120 has 192 divisors, whose sum is σ = 387616398174720. Its totient is φ = 21865540384512.

The previous prime is 100010000112103. The next prime is 100010000112131. The reversal of 100010000112120 is 21211000010001.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862692214 + ... + 862808133.

It is an arithmetic number, because the mean of its divisors is an integer number (2018835407160).

Almost surely, 2^{100010000112120} is an apocalyptic number.

100010000112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010000112120 is an abundant number, since it is smaller than the sum of its proper divisors (287606398062600).

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

100010000112120 is a wasteful number, since it uses less digits than its factorization.

100010000112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725500394 (or 1725500387 counting only the distinct ones).

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

Adding to 100010000112120 its reverse (21211000010001), we get a palindrome (121221000122121).

The spelling of 100010000112120 in words is "one hundred trillion, ten billion, one hundred twelve thousand, one hundred twenty".