10022010200010 has 24 divisors (see below), whose sum is σ = 26057226520260. Its totient is φ = 2672536053312.

The previous prime is 10022010199987. The next prime is 10022010200029. The reversal of 10022010200010 is 1000201022001.

It can be written as a sum of positive squares in 2 ways, for example, as 8107271044929 + 1914739155081 = 2847327^2 + 1383741^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10022010199965 and 10022010200001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55677834355 + ... + 55677834534.

Almost surely, 2^{10022010200010} is an apocalyptic number.

10022010200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022010200010 is an abundant number, since it is smaller than the sum of its proper divisors (16035216320250).

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

10022010200010 is a wasteful number, since it uses less digits than its factorization.

10022010200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111355668902 (or 111355668899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10022010200010 its reverse (1000201022001), we get a palindrome (11022211222011).

The spelling of 10022010200010 in words is "ten trillion, twenty-two billion, ten million, two hundred thousand, ten".