10032111020 has 96 divisors (see below), whose sum is σ = 22438563840. Its totient is φ = 3759402240.

The previous prime is 10032110993. The next prime is 10032111031. The reversal of 10032111020 is 2011123001.

It is a junction number, because it is equal to n+sod(n) for n = 10032110992 and 10032111010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10122725 + ... + 10123715.

It is an arithmetic number, because the mean of its divisors is an integer number (233735040).

Almost surely, 2^10032111020 is an apocalyptic number.

10032111020 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 10032111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11219281920).

10032111020 is an abundant number, since it is smaller than the sum of its proper divisors (12406452820).

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

10032111020 is a wasteful number, since it uses less digits than its factorization.

10032111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1453 counting only the distinct ones).

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

Adding to 10032111020 its reverse (2011123001), we get a palindrome (12043234021).

The spelling of 10032111020 in words is "ten billion, thirty-two million, one hundred eleven thousand, twenty".