222112102122221 has 2 divisors, whose sum is σ = 222112102122222. Its totient is φ = 222112102122220.

The previous prime is 222112102122199. The next prime is 222112102122223. The reversal of 222112102122221 is 122221201211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212471145432100 + 9640956690121 = 14576390^2 + 3104989^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112102122221 - 2²² = 222112097927917 is a prime.

Together with 222112102122223, 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 (222112102122223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056051061110 + 111056051061111.

It is an arithmetic number, because the mean of its divisors is an integer number (111056051061111).

Almost surely, 2^{222112102122221} is an apocalyptic number.

It is an amenable number.

222112102122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112102122221 is an equidigital number, since it uses as much as digits as its factorization.

222112102122221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 222112102122221 its reverse (122221201211222), we get a palindrome (344333303333443).

The spelling of 222112102122221 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred two million, one hundred twenty-two thousand, two hundred twenty-one".