102220222212221 has 2 divisors, whose sum is σ = 102220222212222. Its totient is φ = 102220222212220.

The previous prime is 102220222212191. The next prime is 102220222212263. The reversal of 102220222212221 is 122212222022201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98802109005625 + 3418113206596 = 9939925^2 + 1848814^2 .

It is an emirp because it is prime and its reverse (122212222022201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102220222212221 is a prime.

It is a super-2 number, since 2×102220222212221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102220222202221) 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, 51110111106110 + 51110111106111.

It is an arithmetic number, because the mean of its divisors is an integer number (51110111106111).

Almost surely, 2^{102220222212221} is an apocalyptic number.

It is an amenable number.

102220222212221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220222212221 is an equidigital number, since it uses as much as digits as its factorization.

102220222212221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 102220222212221 its reverse (122212222022201), we get a palindrome (224432444234422).

The spelling of 102220222212221 in words is "one hundred two trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".