102223031123221 has 2 divisors, whose sum is σ = 102223031123222. Its totient is φ = 102223031123220.

The previous prime is 102223031123207. The next prime is 102223031123321. The reversal of 102223031123221 is 122321130322201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88249377844996 + 13973653278225 = 9394114^2 + 3738135^2 .

It is an emirp because it is prime and its reverse (122321130322201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102223031123221 - 2²⁹ = 102222494252309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102223031123201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111515561610 + 51111515561611.

It is an arithmetic number, because the mean of its divisors is an integer number (51111515561611).

Almost surely, 2^{102223031123221} is an apocalyptic number.

It is an amenable number.

102223031123221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102223031123221 is an equidigital number, since it uses as much as digits as its factorization.

102223031123221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 102223031123221 its reverse (122321130322201), we get a palindrome (224544161445422).

The spelling of 102223031123221 in words is "one hundred two trillion, two hundred twenty-three billion, thirty-one million, one hundred twenty-three thousand, two hundred twenty-one".