10032101120 has 144 divisors (see below), whose sum is σ = 24794864640. Its totient is φ = 3886927872.

The previous prime is 10032101119. The next prime is 10032101203. The reversal of 10032101120 is 2110123001.

10032101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 6195671 + ... + 6197289.

It is an arithmetic number, because the mean of its divisors is an integer number (172186560).

Almost surely, 2^10032101120 is an apocalyptic number.

10032101120 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 10032101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12397432320).

10032101120 is an abundant number, since it is smaller than the sum of its proper divisors (14762763520).

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

10032101120 is a wasteful number, since it uses less digits than its factorization.

10032101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10032101120 its reverse (2110123001), we get a palindrome (12142224121).

The spelling of 10032101120 in words is "ten billion, thirty-two million, one hundred one thousand, one hundred twenty".