102221221012021 has 2 divisors, whose sum is σ = 102221221012022. Its totient is φ = 102221221012020.

The previous prime is 102221221012007. The next prime is 102221221012037. The reversal of 102221221012021 is 120210122122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84932997128100 + 17288223883921 = 9215910^2 + 4157911^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221221012021 - 2²⁹ = 102220684141109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102221221012021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221221012061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110610506010 + 51110610506011.

It is an arithmetic number, because the mean of its divisors is an integer number (51110610506011).

Almost surely, 2^{102221221012021} is an apocalyptic number.

It is an amenable number.

102221221012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221221012021 is an equidigital number, since it uses as much as digits as its factorization.

102221221012021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102221221012021 its reverse (120210122122201), we get a palindrome (222431343134222).

The spelling of 102221221012021 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty-one million, twelve thousand, twenty-one".