10120320400 has 90 divisors (see below), whose sum is σ = 24576450630. Its totient is φ = 4004904960.

The previous prime is 10120320377. The next prime is 10120320433. The reversal of 10120320400 is 402302101.

It can be written as a sum of positive squares in 9 ways, for example, as 6039154944 + 4081165456 = 77712^2 + 63884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3762256 + ... + 3764944.

Almost surely, 2^10120320400 is an apocalyptic number.

10120320400 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 10120320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12288225315).

10120320400 is an abundant number, since it is smaller than the sum of its proper divisors (14456130230).

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

10120320400 is an equidigital number, since it uses as much as digits as its factorization.

10120320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10120320400 its reverse (402302101), we get a palindrome (10522622501).

The spelling of 10120320400 in words is "ten billion, one hundred twenty million, three hundred twenty thousand, four hundred".