102202221121201 has 2 divisors, whose sum is σ = 102202221121202. Its totient is φ = 102202221121200.

The previous prime is 102202221121157. The next prime is 102202221121219. The reversal of 102202221121201 is 102121122202201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82684831334400 + 19517389786801 = 9093120^2 + 4417849^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202221121201 - 2⁹ = 102202221120689 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202221121271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101110560600 + 51101110560601.

It is an arithmetic number, because the mean of its divisors is an integer number (51101110560601).

Almost surely, 2^{102202221121201} is an apocalyptic number.

It is an amenable number.

102202221121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202221121201 is an equidigital number, since it uses as much as digits as its factorization.

102202221121201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102202221121201 its reverse (102121122202201), we get a palindrome (204323343323402).

The spelling of 102202221121201 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred one".