100000110000120 has 64 divisors (see below), whose sum is σ = 327273087277440. Its totient is φ = 24242450908800.

The previous prime is 100000110000079. The next prime is 100000110000149. The reversal of 100000110000120 is 21000011000001.

It is a super-2 number, since 2×100000110000120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a junction number, because it is equal to n+sod(n) for n = 100000110000099 and 100000110000108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37878828226 + ... + 37878830865.

It is an arithmetic number, because the mean of its divisors is an integer number (5113641988710).

Almost surely, 2^{100000110000120} is an apocalyptic number.

100000110000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000110000120 is an abundant number, since it is smaller than the sum of its proper divisors (227272977277320).

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

100000110000120 is a wasteful number, since it uses less digits than its factorization.

100000110000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75757659116 (or 75757659112 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100000110000120 its reverse (21000011000001), we get a palindrome (121000121000121).

The spelling of 100000110000120 in words is "one hundred trillion, one hundred ten million, one hundred twenty", and thus it is an aban number.