102213302123221 has 2 divisors, whose sum is σ = 102213302123222. Its totient is φ = 102213302123220.

The previous prime is 102213302123201. The next prime is 102213302123239. The reversal of 102213302123221 is 122321203312201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84557422551121 + 17655879572100 = 9195511^2 + 4201890^2 .

It is a cyclic number.

It is not a de Polignac number, because 102213302123221 - 2³⁹ = 101663546309333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102213302123201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106651061610 + 51106651061611.

It is an arithmetic number, because the mean of its divisors is an integer number (51106651061611).

Almost surely, 2^{102213302123221} is an apocalyptic number.

It is an amenable number.

102213302123221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213302123221 is an equidigital number, since it uses as much as digits as its factorization.

102213302123221 is an evil number, because the sum of its binary digits is even.

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

Adding to 102213302123221 its reverse (122321203312201), we get a palindrome (224534505435422).

The spelling of 102213302123221 in words is "one hundred two trillion, two hundred thirteen billion, three hundred two million, one hundred twenty-three thousand, two hundred twenty-one".