202221211122 has 192 divisors, whose sum is σ = 553215237120. Its totient is φ = 54075657024.

The previous prime is 202221211111. The next prime is 202221211151. The reversal of 202221211122 is 221112122202.

It is a happy number.

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 = 202221211095 and 202221211104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5346108 + ... + 5383800.

It is an arithmetic number, because the mean of its divisors is an integer number (2881329360).

Almost surely, 2^202221211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202221211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276607618560).

202221211122 is an abundant number, since it is smaller than the sum of its proper divisors (350994025998).

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

202221211122 is a wasteful number, since it uses less digits than its factorization.

202221211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37819 (or 37807 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202221211122 its reverse (221112122202), we get a palindrome (423333333324).

The spelling of 202221211122 in words is "two hundred two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-two".