10122011120 has 160 divisors (see below), whose sum is σ = 27093515904. Its totient is φ = 3487334400.

The previous prime is 10122011111. The next prime is 10122011183. The reversal of 10122011120 is 2111022101.

It is a super-2 number, since 2×10122011120² (a number of 21 digits) contains 22 as substring.

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, 975560 + ... + 985880.

Almost surely, 2^10122011120 is an apocalyptic number.

10122011120 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 10122011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546757952).

10122011120 is an abundant number, since it is smaller than the sum of its proper divisors (16971504784).

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

10122011120 is a wasteful number, since it uses less digits than its factorization.

10122011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10411 (or 10405 counting only the distinct ones).

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

Adding to 10122011120 its reverse (2111022101), we get a palindrome (12233033221).

The spelling of 10122011120 in words is "ten billion, one hundred twenty-two million, eleven thousand, one hundred twenty".