10022001300 has 108 divisors (see below), whose sum is σ = 32262524476. Its totient is φ = 2600294400.

The previous prime is 10022001299. The next prime is 10022001349. The reversal of 10022001300 is 310022001.

It is a happy number.

10022001300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 123343236 + 9898658064 = 11106^2 + 99492^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 117181 + ... + 183780.

Almost surely, 2^10022001300 is an apocalyptic number.

10022001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022001300 is an abundant number, since it is smaller than the sum of its proper divisors (22240523176).

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

10022001300 is a wasteful number, since it uses less digits than its factorization.

10022001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301018 (or 301008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10022001300 its reverse (310022001), we get a palindrome (10332023301).

The spelling of 10022001300 in words is "ten billion, twenty-two million, one thousand, three hundred".