102222222212221 has 2 divisors, whose sum is σ = 102222222212222. Its totient is φ = 102222222212220.

The previous prime is 102222222212113. The next prime is 102222222212311. The reversal of 102222222212221 is 122212222222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93547371216121 + 8674850996100 = 9671989^2 + 2945310^2 .

It is an emirp because it is prime and its reverse (122212222222201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102222222212221 - 2⁴¹ = 100023198956669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102222222212821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111111106110 + 51111111106111.

It is an arithmetic number, because the mean of its divisors is an integer number (51111111106111).

Almost surely, 2^{102222222212221} is an apocalyptic number.

It is an amenable number.

102222222212221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222222212221 is an equidigital number, since it uses as much as digits as its factorization.

102222222212221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 102222222212221 its reverse (122212222222201), we get a palindrome (224434444434422).

The spelling of 102222222212221 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".