102221002001021 has 2 divisors, whose sum is σ = 102221002001022. Its totient is φ = 102221002001020.

The previous prime is 102221002001003. The next prime is 102221002001029. The reversal of 102221002001021 is 120100200122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77074177056100 + 25146824944921 = 8779190^2 + 5014661^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221002001021 - 2²⁶ = 102220934892157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221002000987 and 102221002001005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221002001029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110501000510 + 51110501000511.

It is an arithmetic number, because the mean of its divisors is an integer number (51110501000511).

Almost surely, 2^{102221002001021} is an apocalyptic number.

It is an amenable number.

102221002001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221002001021 is an equidigital number, since it uses as much as digits as its factorization.

102221002001021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102221002001021 its reverse (120100200122201), we get a palindrome (222321202123222).

The spelling of 102221002001021 in words is "one hundred two trillion, two hundred twenty-one billion, two million, one thousand, twenty-one".