102221010202033 has 2 divisors, whose sum is σ = 102221010202034. Its totient is φ = 102221010202032.

The previous prime is 102221010202009. The next prime is 102221010202111. The reversal of 102221010202033 is 330202010122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91764272120689 + 10456738081344 = 9579367^2 + 3233688^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102221010202033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102221010202033.

It is not a weakly prime, because it can be changed into another prime (102221010202133) 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, 51110505101016 + 51110505101017.

It is an arithmetic number, because the mean of its divisors is an integer number (51110505101017).

Almost surely, 2^{102221010202033} is an apocalyptic number.

It is an amenable number.

102221010202033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221010202033 is an equidigital number, since it uses as much as digits as its factorization.

102221010202033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102221010202033 its reverse (330202010122201), we get a palindrome (432423020324234).

The spelling of 102221010202033 in words is "one hundred two trillion, two hundred twenty-one billion, ten million, two hundred two thousand, thirty-three".