102221000220221 has 2 divisors, whose sum is σ = 102221000220222. Its totient is φ = 102221000220220.

The previous prime is 102221000220181. The next prime is 102221000220263. The reversal of 102221000220221 is 122022000122201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101577573244900 + 643426975321 = 10078570^2 + 802139^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102221000220221 is a prime.

It is a super-3 number, since 3×102221000220221³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102221000220221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221000226221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110500110110 + 51110500110111.

It is an arithmetic number, because the mean of its divisors is an integer number (51110500110111).

Almost surely, 2^{102221000220221} is an apocalyptic number.

It is an amenable number.

102221000220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221000220221 is an equidigital number, since it uses as much as digits as its factorization.

102221000220221 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 17.

Adding to 102221000220221 its reverse (122022000122201), we get a palindrome (224243000342422).

The spelling of 102221000220221 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty thousand, two hundred twenty-one".