10100110120110 has 48 divisors (see below), whose sum is σ = 26260620703200. Its totient is φ = 2693328402240.

The previous prime is 10100110120073. The next prime is 10100110120123. The reversal of 10100110120110 is 1102101100101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100110120092 and 10100110120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6833100 + ... + 8178720.

It is an arithmetic number, because the mean of its divisors is an integer number (547096264650).

Almost surely, 2^{10100110120110} is an apocalyptic number.

10100110120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100110120110 is an abundant number, since it is smaller than the sum of its proper divisors (16160510583090).

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

10100110120110 is a wasteful number, since it uses less digits than its factorization.

10100110120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429033 (or 1429030 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10100110120110 its reverse (1102101100101), we get a palindrome (11202211220211).

The spelling of 10100110120110 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred twenty thousand, one hundred ten".