100111100000120 has 64 divisors (see below), whose sum is σ = 245728561235040. Its totient is φ = 36403841433600.

The previous prime is 100111100000101. The next prime is 100111100000123. The reversal of 100111100000120 is 21000001111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100111100000098 and 100111100000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111100000123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100829624 + ... + 101817656.

Almost surely, 2^{100111100000120} is an apocalyptic number.

100111100000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111100000120 is an abundant number, since it is smaller than the sum of its proper divisors (145617461234920).

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

100111100000120 is a wasteful number, since it uses less digits than its factorization.

100111100000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218336 (or 1218332 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100111100000120 its reverse (21000001111001), we get a palindrome (121111101111121).

The spelling of 100111100000120 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred twenty", and thus it is an aban number.