102222000202221 has 36 divisors (see below), whose sum is σ = 152797389808284. Its totient is φ = 65851680222720.

The previous prime is 102222000202169. The next prime is 102222000202229. The reversal of 102222000202221 is 122202000222201.

102222000202221 is a `hidden beast` number, since 1 + 0 + 22 + 220 + 0 + 0 + 202 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73229009186025 + 28992991016196 = 8557395^2 + 5384514^2 .

It is not a de Polignac number, because 102222000202221 - 2¹⁵ = 102222000169453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102222000202194 and 102222000202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222000202229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2960010 + ... + 14601563.

It is an arithmetic number, because the mean of its divisors is an integer number (4244371939119).

Almost surely, 2^{102222000202221} is an apocalyptic number.

It is an amenable number.

102222000202221 is a deficient number, since it is larger than the sum of its proper divisors (50575389606063).

102222000202221 is a wasteful number, since it uses less digits than its factorization.

102222000202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17562314 (or 17562280 counting only the distinct ones).

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

Adding to 102222000202221 its reverse (122202000222201), we get a palindrome (224424000424422).

The spelling of 102222000202221 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred two thousand, two hundred twenty-one".