10222202222200 has 96 divisors (see below), whose sum is σ = 24589652500800. Its totient is φ = 3947324003840.

The previous prime is 10222202222191. The next prime is 10222202222303. The reversal of 10222202222200 is 222220222201.

10222202222200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41911002 + ... + 42154198.

It is an arithmetic number, because the mean of its divisors is an integer number (256142213550).

Almost surely, 2^{10222202222200} is an apocalyptic number.

10222202222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222202222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12294826250400).

10222202222200 is an abundant number, since it is smaller than the sum of its proper divisors (14367450278600).

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

10222202222200 is a wasteful number, since it uses less digits than its factorization.

10222202222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250489 (or 250480 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 10222202222200 its reverse (222220222201), we get a palindrome (10444422444401).

The spelling of 10222202222200 in words is "ten trillion, two hundred twenty-two billion, two hundred two million, two hundred twenty-two thousand, two hundred".