10011122120 has 32 divisors (see below), whose sum is σ = 22842285120. Its totient is φ = 3948047040.

The previous prime is 10011122119. The next prime is 10011122179. The reversal of 10011122120 is 2122111001.

It is a super-2 number, since 2×10011122120² (a number of 21 digits) contains 22 as substring.

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, 1759682 + ... + 1765361.

It is an arithmetic number, because the mean of its divisors is an integer number (713821410).

Almost surely, 2^10011122120 is an apocalyptic number.

10011122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011122120 is an abundant number, since it is smaller than the sum of its proper divisors (12831163000).

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

10011122120 is a wasteful number, since it uses less digits than its factorization.

10011122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525125 (or 3525121 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10011122120 its reverse (2122111001), we get a palindrome (12133233121).

The spelling of 10011122120 in words is "ten billion, eleven million, one hundred twenty-two thousand, one hundred twenty".