10102022320 has 120 divisors (see below), whose sum is σ = 25698417696. Its totient is φ = 3691044864.

The previous prime is 10102022317. The next prime is 10102022321. The reversal of 10102022320 is 2322020101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10102022320.

It is not an unprimeable number, because it can be changed into a prime (10102022321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1307589 + ... + 1315291.

Almost surely, 2^10102022320 is an apocalyptic number.

10102022320 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 10102022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12849208848).

10102022320 is an abundant number, since it is smaller than the sum of its proper divisors (15596395376).

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

10102022320 is a wasteful number, since it uses less digits than its factorization.

10102022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7820 counting only the distinct ones).

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

Adding to 10102022320 its reverse (2322020101), we get a palindrome (12424042421).

The spelling of 10102022320 in words is "ten billion, one hundred two million, twenty-two thousand, three hundred twenty".