10032220113032 has 128 divisors (see below), whose sum is σ = 21203771954400. Its totient is φ = 4418784534528.

The previous prime is 10032220113031. The next prime is 10032220113053. The reversal of 10032220113032 is 23031102223001.

It can be written as a sum of positive squares in 16 ways, for example, as 5929059421156 + 4103160691876 = 2434966^2 + 2025626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10032220112995 and 10032220113013.

It is not an unprimeable number, because it can be changed into a prime (10032220113031) 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, 1035418844 + ... + 1035428532.

Almost surely, 2^{10032220113032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032220113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10601885977200).

10032220113032 is an abundant number, since it is smaller than the sum of its proper divisors (11171551841368).

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

10032220113032 is a wasteful number, since it uses less digits than its factorization.

10032220113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14875 (or 14871 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10032220113032 its reverse (23031102223001), we get a palindrome (33063322336033).

The spelling of 10032220113032 in words is "ten trillion, thirty-two billion, two hundred twenty million, one hundred thirteen thousand, thirty-two".