100110100102120 has 64 divisors (see below), whose sum is σ = 230628238410240. Its totient is φ = 39088653408000.

The previous prime is 100110100102109. The next prime is 100110100102171. The reversal of 100110100102120 is 21201001011001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100110100102097 and 100110100102106.

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, 15164856 + ... + 20741095.

It is an arithmetic number, because the mean of its divisors is an integer number (3603566225160).

Almost surely, 2^{100110100102120} is an apocalyptic number.

100110100102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110100102120 is an abundant number, since it is smaller than the sum of its proper divisors (130518138308120).

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

100110100102120 is a wasteful number, since it uses less digits than its factorization.

100110100102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35907626 (or 35907622 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110100102120 its reverse (21201001011001), we get a palindrome (121311101113121).

The spelling of 100110100102120 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred two thousand, one hundred twenty".