102202202012221 has 8 divisors (see below), whose sum is σ = 108304199597304. Its totient is φ = 96110215910400.

The previous prime is 102202202012191. The next prime is 102202202012233. The reversal of 102202202012221 is 122210202202201.

It can be written as a sum of positive squares in 4 ways, for example, as 11221394527225 + 90980807484996 = 3349835^2 + 9538386^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102202202012221 is a prime.

It is a super-2 number, since 2×102202202012221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202202012921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2502849790 + ... + 2502890623.

It is an arithmetic number, because the mean of its divisors is an integer number (13538024949663).

Almost surely, 2^{102202202012221} is an apocalyptic number.

It is an amenable number.

102202202012221 is a deficient number, since it is larger than the sum of its proper divisors (6101997585083).

102202202012221 is a wasteful number, since it uses less digits than its factorization.

102202202012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005741631.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 102202202012221 its reverse (122210202202201), we get a palindrome (224412404214422).

The spelling of 102202202012221 in words is "one hundred two trillion, two hundred two billion, two hundred two million, twelve thousand, two hundred twenty-one".