10222022122200 has 144 divisors (see below), whose sum is σ = 39233094479280. Its totient is φ = 2336462196480.

The previous prime is 10222022122177. The next prime is 10222022122241. The reversal of 10222022122200 is 222122022201.

10222022122200 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 221 + 2 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405623199 + ... + 405648398.

It is an arithmetic number, because the mean of its divisors is an integer number (272452044995).

Almost surely, 2^{10222022122200} is an apocalyptic number.

10222022122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022122200 is an abundant number, since it is smaller than the sum of its proper divisors (29011072357080).

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

10222022122200 is a wasteful number, since it uses less digits than its factorization.

10222022122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811271626 (or 811271614 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222022122200 its reverse (222122022201), we get a palindrome (10444144144401).

Subtracting from 10222022122200 its reverse (222122022201), we obtain a palindrome (9999900099999).

The spelling of 10222022122200 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, two hundred".