10022031344020 has 96 divisors (see below), whose sum is σ = 21290694451488. Its totient is φ = 3962540285952.

The previous prime is 10022031343949. The next prime is 10022031344033. The reversal of 10022031344020 is 2044313022001.

10022031344020 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 16 ways, for example, as 3391210642576 + 6630820701444 = 1841524^2 + 2575038^2 .

It is a super-2 number, since 2×10022031344020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022031343982 and 10022031344000.

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, 667371552 + ... + 667386568.

It is an arithmetic number, because the mean of its divisors is an integer number (221778067203).

Almost surely, 2^{10022031344020} is an apocalyptic number.

10022031344020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022031344020 is an abundant number, since it is smaller than the sum of its proper divisors (11268663107468).

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

10022031344020 is a wasteful number, since it uses less digits than its factorization.

10022031344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16189 (or 16187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10022031344020 its reverse (2044313022001), we get a palindrome (12066344366021).

The spelling of 10022031344020 in words is "ten trillion, twenty-two billion, thirty-one million, three hundred forty-four thousand, twenty".