100110120110112 has 48 divisors (see below), whose sum is σ = 300330360332352. Its totient is φ = 28602891459840.

The previous prime is 100110120110101. The next prime is 100110120110177. The reversal of 100110120110112 is 211011021011001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100110120110112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74486695839 + ... + 74486697182.

It is an arithmetic number, because the mean of its divisors is an integer number (6256882506924).

Almost surely, 2^{100110120110112} is an apocalyptic number.

100110120110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110120110112 is an abundant number, since it is smaller than the sum of its proper divisors (200220240222240).

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

100110120110112 is a wasteful number, since it uses less digits than its factorization.

100110120110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148973393041 (or 148973393033 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100110120110112 its reverse (211011021011001), we get a palindrome (311121141121113).

The spelling of 100110120110112 in words is "one hundred trillion, one hundred ten billion, one hundred twenty million, one hundred ten thousand, one hundred twelve".