202210102111122 has 144 divisors (see below), whose sum is σ = 514779033943512. Its totient is φ = 57193291814400.

The previous prime is 202210102111117. The next prime is 202210102111139. The reversal of 202210102111122 is 221111201012202.

202210102111122 is a `hidden beast` number, since 202 + 210 + 10 + 211 + 11 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159523492928121 + 42686609183001 = 12630261^2 + 6533499^2 .

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 = 202210102111095 and 202210102111104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 576452448 + ... + 576803124.

Almost surely, 2^{202210102111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202210102111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257389516971756).

202210102111122 is an abundant number, since it is smaller than the sum of its proper divisors (312568931832390).

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

202210102111122 is a wasteful number, since it uses less digits than its factorization.

202210102111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357273 (or 357263 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202210102111122 its reverse (221111201012202), we get a palindrome (423321303123324).

The spelling of 202210102111122 in words is "two hundred two trillion, two hundred ten billion, one hundred two million, one hundred eleven thousand, one hundred twenty-two".