222102221121101 has 2 divisors, whose sum is σ = 222102221121102. Its totient is φ = 222102221121100.

The previous prime is 222102221121091. The next prime is 222102221121103. The reversal of 222102221121101 is 101121122201222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170610488622025 + 51491732499076 = 13061795^2 + 7175774^2 .

It is a cyclic number.

It is not a de Polignac number, because 222102221121101 - 2³⁸ = 221827343214157 is a prime.

Together with 222102221121103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222102221121103) 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 as a sum of consecutive naturals, namely, 111051110560550 + 111051110560551.

It is an arithmetic number, because the mean of its divisors is an integer number (111051110560551).

Almost surely, 2^{222102221121101} is an apocalyptic number.

It is an amenable number.

222102221121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222102221121101 is an equidigital number, since it uses as much as digits as its factorization.

222102221121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 222102221121101 its reverse (101121122201222), we get a palindrome (323223343322323).

The spelling of 222102221121101 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred one".