100122101112120 has 128 divisors (see below), whose sum is σ = 308889688991040. Its totient is φ = 25943489187840.

The previous prime is 100122101112119. The next prime is 100122101112151. The reversal of 100122101112120 is 21211101221001.

It is a happy number.

It is a super-2 number, since 2×100122101112120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100122101112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11437207 + ... + 18194886.

Almost surely, 2^{100122101112120} is an apocalyptic number.

100122101112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122101112120 is an abundant number, since it is smaller than the sum of its proper divisors (208767587878920).

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

100122101112120 is a wasteful number, since it uses less digits than its factorization.

100122101112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29632905 (or 29632901 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100122101112120 its reverse (21211101221001), we get a palindrome (121333202333121).

The spelling of 100122101112120 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, one hundred twelve thousand, one hundred twenty".