202122200210022 has 160 divisors (see below), whose sum is σ = 476306966361600. Its totient is φ = 64004448860352.

The previous prime is 202122200209999. The next prime is 202122200210107. The reversal of 202122200210022 is 220012002221202.

202122200210022 is a `hidden beast` number, since 2 + 0 + 212 + 220 + 0 + 210 + 0 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 202122200209977 and 202122200210004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34130104 + ... + 39611972.

It is an arithmetic number, because the mean of its divisors is an integer number (2976918539760).

Almost surely, 2^{202122200210022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202122200210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238153483180800).

202122200210022 is an abundant number, since it is smaller than the sum of its proper divisors (274184766151578).

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

202122200210022 is a wasteful number, since it uses less digits than its factorization.

202122200210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5482072 (or 5482063 counting only the distinct ones).

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

Adding to 202122200210022 its reverse (220012002221202), we get a palindrome (422134202431224).

The spelling of 202122200210022 in words is "two hundred two trillion, one hundred twenty-two billion, two hundred million, two hundred ten thousand, twenty-two".