10002022320 has 80 divisors (see below), whose sum is σ = 31073582592. Its totient is φ = 2661415680.

The previous prime is 10002022307. The next prime is 10002022321. The reversal of 10002022320 is 2322020001.

10002022320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002022296 and 10002022305.

It is not an unprimeable number, because it can be changed into a prime (10002022321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66115 + ... + 156125.

Almost surely, 2^10002022320 is an apocalyptic number.

10002022320 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 10002022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536791296).

10002022320 is an abundant number, since it is smaller than the sum of its proper divisors (21071560272).

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

10002022320 is a wasteful number, since it uses less digits than its factorization.

10002022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90490 (or 90484 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10002022320 its reverse (2322020001), we get a palindrome (12324042321).

The spelling of 10002022320 in words is "ten billion, two million, twenty-two thousand, three hundred twenty".