10022002200210 has 512 divisors, whose sum is σ = 33207266082816. Its totient is φ = 1868106240000.

The previous prime is 10022002200193. The next prime is 10022002200227. The reversal of 10022002200210 is 1200220022001.

10022002200210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10022002200193) and next prime (10022002200227).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1012216260 + ... + 1012226160.

It is an arithmetic number, because the mean of its divisors is an integer number (64857941568).

Almost surely, 2^{10022002200210} is an apocalyptic number.

10022002200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022002200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16603633041408).

10022002200210 is an abundant number, since it is smaller than the sum of its proper divisors (23185263882606).

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

10022002200210 is a wasteful number, since it uses less digits than its factorization.

10022002200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10890.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022002200210 its reverse (1200220022001), we get a palindrome (11222222222211).

The spelling of 10022002200210 in words is "ten trillion, twenty-two billion, two million, two hundred thousand, two hundred ten".