10132112120 has 128 divisors (see below), whose sum is σ = 25003218240. Its totient is φ = 3672760320.

The previous prime is 10132112087. The next prime is 10132112129. The reversal of 10132112120 is 2121123101.

It is a junction number, because it is equal to n+sod(n) for n = 10132112095 and 10132112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132112129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7811312 + ... + 7812608.

Almost surely, 2^10132112120 is an apocalyptic number.

10132112120 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 10132112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12501609120).

10132112120 is an abundant number, since it is smaller than the sum of its proper divisors (14871106120).

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

10132112120 is a wasteful number, since it uses less digits than its factorization.

10132112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10132112120 its reverse (2121123101), we get a palindrome (12253235221).

The spelling of 10132112120 in words is "ten billion, one hundred thirty-two million, one hundred twelve thousand, one hundred twenty".