10032301120 has 112 divisors (see below), whose sum is σ = 25466497200. Its totient is φ = 3751215104.

The previous prime is 10032301109. The next prime is 10032301129. The reversal of 10032301120 is 2110323001.

It can be written as a sum of positive squares in 8 ways, for example, as 1254859776 + 8777441344 = 35424^2 + 93688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10032301120.

It is not an unprimeable number, because it can be changed into a prime (10032301129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804372 + ... + 816748.

Almost surely, 2^10032301120 is an apocalyptic number.

10032301120 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 10032301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12733248600).

10032301120 is an abundant number, since it is smaller than the sum of its proper divisors (15434196080).

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

10032301120 is a wasteful number, since it uses less digits than its factorization.

10032301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12560 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10032301120 its reverse (2110323001), we get a palindrome (12142624121).

The spelling of 10032301120 in words is "ten billion, thirty-two million, three hundred one thousand, one hundred twenty".