202210132122 has 96 divisors (see below), whose sum is σ = 461529051984. Its totient is φ = 63900057600.

The previous prime is 202210132037. The next prime is 202210132153. The reversal of 202210132122 is 221231012202.

202210132122 is a `hidden beast` number, since 202 + 210 + 132 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 79478322561 + 122731809561 = 281919^2 + 350331^2 .

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 = 202210132095 and 202210132104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23396922 + ... + 23405562.

Almost surely, 2^202210132122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202210132122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230764525992).

202210132122 is an abundant number, since it is smaller than the sum of its proper divisors (259318919862).

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

202210132122 is a wasteful number, since it uses less digits than its factorization.

202210132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9584 (or 9581 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202210132122 its reverse (221231012202), we get a palindrome (423441144324).

The spelling of 202210132122 in words is "two hundred two billion, two hundred ten million, one hundred thirty-two thousand, one hundred twenty-two".