10101110120 has 32 divisors (see below), whose sum is σ = 22821824520. Its totient is φ = 4023674880.

The previous prime is 10101110093. The next prime is 10101110161. The reversal of 10101110120 is 2101110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9820413604 + 280696516 = 99098^2 + 16754^2 .

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 = 10101110098 and 10101110107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514277 + ... + 533556.

Almost surely, 2^10101110120 is an apocalyptic number.

10101110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101110120 is an abundant number, since it is smaller than the sum of its proper divisors (12720714400).

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

10101110120 is a wasteful number, since it uses less digits than its factorization.

10101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048085 (or 1048081 counting only the distinct ones).

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

Adding to 10101110120 its reverse (2101110101), we get a palindrome (12202220221).

The spelling of 10101110120 in words is "ten billion, one hundred one million, one hundred ten thousand, one hundred twenty".