102210010223221 has 2 divisors, whose sum is σ = 102210010223222. Its totient is φ = 102210010223220.

The previous prime is 102210010223173. The next prime is 102210010223261. The reversal of 102210010223221 is 122322010012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99862327416996 + 2347682806225 = 9993114^2 + 1532215^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210010223221 - 2¹⁷ = 102210010092149 is a prime.

It is a super-2 number, since 2×102210010223221² (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 (102210010223261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105005111610 + 51105005111611.

It is an arithmetic number, because the mean of its divisors is an integer number (51105005111611).

Almost surely, 2^{102210010223221} is an apocalyptic number.

It is an amenable number.

102210010223221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210010223221 is an equidigital number, since it uses as much as digits as its factorization.

102210010223221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102210010223221 its reverse (122322010012201), we get a palindrome (224532020235422).

The spelling of 102210010223221 in words is "one hundred two trillion, two hundred ten billion, ten million, two hundred twenty-three thousand, two hundred twenty-one".