10112021120 has 64 divisors (see below), whose sum is σ = 24307887240. Its totient is φ = 4022415360.

The previous prime is 10112021119. The next prime is 10112021137. The reversal of 10112021120 is 2112021101.

It can be written as a sum of positive squares in 4 ways, for example, as 7438717504 + 2673303616 = 86248^2 + 51704^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10112021120² (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, 72194 + ... + 159486.

Almost surely, 2^10112021120 is an apocalyptic number.

10112021120 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 10112021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153943620).

10112021120 is an abundant number, since it is smaller than the sum of its proper divisors (14195866120).

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

10112021120 is an equidigital number, since it uses as much as digits as its factorization.

10112021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87493 (or 87481 counting only the distinct ones).

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

Adding to 10112021120 its reverse (2112021101), we get a palindrome (12224042221).

The spelling of 10112021120 in words is "ten billion, one hundred twelve million, twenty-one thousand, one hundred twenty".