10122421310320 has 160 divisors (see below), whose sum is σ = 25842607913664. Its totient is φ = 3656760729600.

The previous prime is 10122421310317. The next prime is 10122421310357. The reversal of 10122421310320 is 2301312422101.

10122421310320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10122421310291 and 10122421310300.

It is a congruent number.

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, 201083874 + ... + 201134206.

Almost surely, 2^{10122421310320} is an apocalyptic number.

10122421310320 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 10122421310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12921303956832).

10122421310320 is an abundant number, since it is smaller than the sum of its proper divisors (15720186603344).

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

10122421310320 is a wasteful number, since it uses less digits than its factorization.

10122421310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51851 (or 51845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10122421310320 its reverse (2301312422101), we get a palindrome (12423733732421).

The spelling of 10122421310320 in words is "ten trillion, one hundred twenty-two billion, four hundred twenty-one million, three hundred ten thousand, three hundred twenty".