100110010012120 has 64 divisors (see below), whose sum is σ = 238498827991200. Its totient is φ = 37688245032960.

The previous prime is 100110010012079. The next prime is 100110010012147. The reversal of 100110010012120 is 21210010011001.

It is a super-3 number, since 3×100110010012120³ (a number of 43 digits) contains 333 as substring.

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 = 100110010012097 and 100110010012106.

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, 147104235 + ... + 147783205.

Almost surely, 2^{100110010012120} is an apocalyptic number.

100110010012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110010012120 is an abundant number, since it is smaller than the sum of its proper divisors (138388817979080).

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

100110010012120 is a wasteful number, since it uses less digits than its factorization.

100110010012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895828 (or 895824 counting only the distinct ones).

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

Adding to 100110010012120 its reverse (21210010011001), we get a palindrome (121320020023121).

The spelling of 100110010012120 in words is "one hundred trillion, one hundred ten billion, ten million, twelve thousand, one hundred twenty".