100112100122120 has 16 divisors (see below), whose sum is σ = 225252225274860. Its totient is φ = 40044840048832.

The previous prime is 100112100121997. The next prime is 100112100122159. The reversal of 100112100122120 is 21221001211001.

It can be written as a sum of positive squares in 2 ways, for example, as 99984040636804 + 128059485316 = 9999202^2 + 357854^2 .

It is a super-2 number, since 2×100112100122120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100112100122095 and 100112100122104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251401251487 + ... + 1251401251566.

Almost surely, 2^{100112100122120} is an apocalyptic number.

100112100122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112100122120 is an abundant number, since it is smaller than the sum of its proper divisors (125140125152740).

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

100112100122120 is a wasteful number, since it uses less digits than its factorization.

100112100122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502802503064 (or 2502802503060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112100122120 its reverse (21221001211001), we get a palindrome (121333101333121).

The spelling of 100112100122120 in words is "one hundred trillion, one hundred twelve billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".