10110440120 has 128 divisors (see below), whose sum is σ = 25389089280. Its totient is φ = 3592512000.

The previous prime is 10110440071. The next prime is 10110440149. The reversal of 10110440120 is 2104401101.

It is a super-2 number, since 2×10110440120² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10110440095 and 10110440104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4373765 + ... + 4376075.

It is an arithmetic number, because the mean of its divisors is an integer number (198352260).

Almost surely, 2^10110440120 is an apocalyptic number.

10110440120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12694544640).

10110440120 is an abundant number, since it is smaller than the sum of its proper divisors (15278649160).

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

10110440120 is a wasteful number, since it uses less digits than its factorization.

10110440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10110440120 its reverse (2104401101), we get a palindrome (12214841221).

The spelling of 10110440120 in words is "ten billion, one hundred ten million, four hundred forty thousand, one hundred twenty".