10132301120 has 112 divisors (see below), whose sum is σ = 24491289600. Its totient is φ = 3992186880.

The previous prime is 10132301083. The next prime is 10132301131. The reversal of 10132301120 is 2110323101.

10132301120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10132301095 and 10132301104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10223825 + ... + 10224815.

Almost surely, 2^10132301120 is an apocalyptic number.

10132301120 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 10132301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245644800).

10132301120 is an abundant number, since it is smaller than the sum of its proper divisors (14358988480).

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

10132301120 is an equidigital number, since it uses as much as digits as its factorization.

10132301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10132301120 its reverse (2110323101), we get a palindrome (12242624221).

The spelling of 10132301120 in words is "ten billion, one hundred thirty-two million, three hundred one thousand, one hundred twenty".