100110120100112 has 20 divisors (see below), whose sum is σ = 196418590072320. Its totient is φ = 49421451694368.

The previous prime is 100110120100099. The next prime is 100110120100163. The reversal of 100110120100112 is 211001021011001.

It is a super-2 number, since 2×100110120100112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110120100093 and 100110120100102.

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, 39600520928 + ... + 39600523455.

It is an arithmetic number, because the mean of its divisors is an integer number (9820929503616).

Almost surely, 2^{100110120100112} is an apocalyptic number.

It is an amenable number.

100110120100112 is a deficient number, since it is larger than the sum of its proper divisors (96308469972208).

100110120100112 is an equidigital number, since it uses as much as digits as its factorization.

100110120100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79201044470 (or 79201044464 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100110120100112 its reverse (211001021011001), we get a palindrome (311111141111113).

The spelling of 100110120100112 in words is "one hundred trillion, one hundred ten billion, one hundred twenty million, one hundred thousand, one hundred twelve".