10202122200210 has 32 divisors (see below), whose sum is σ = 24486912135360. Its totient is φ = 2720363825088.

The previous prime is 10202122200161. The next prime is 10202122200211. The reversal of 10202122200210 is 1200222120201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202122200210.

It is not an unprimeable number, because it can be changed into a prime (10202122200211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12220132 + ... + 13028271.

It is an arithmetic number, because the mean of its divisors is an integer number (765216004230).

Almost surely, 2^{10202122200210} is an apocalyptic number.

10202122200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202122200210 is an abundant number, since it is smaller than the sum of its proper divisors (14284789935150).

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

10202122200210 is a wasteful number, since it uses less digits than its factorization.

10202122200210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25261882.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10202122200210 its reverse (1200222120201), we get a palindrome (11402344320411).

The spelling of 10202122200210 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, two hundred thousand, two hundred ten".