102221200002221 has 16 divisors (see below), whose sum is σ = 102677631239040. Its totient is φ = 101765305393920.

The previous prime is 102221200002203. The next prime is 102221200002293. The reversal of 102221200002221 is 122200002122201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102221200002221 - 2¹⁰ = 102221200001197 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102221200002221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221200002121) 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 in 15 ways as a sum of consecutive naturals, for example, 2689234106 + ... + 2689272116.

It is an arithmetic number, because the mean of its divisors is an integer number (6417351952440).

Almost surely, 2^{102221200002221} is an apocalyptic number.

It is an amenable number.

102221200002221 is a deficient number, since it is larger than the sum of its proper divisors (456431236819).

102221200002221 is a wasteful number, since it uses less digits than its factorization.

102221200002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44756.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102221200002221 its reverse (122200002122201), we get a palindrome (224421202124422).

The spelling of 102221200002221 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred million, two thousand, two hundred twenty-one".