102221021122201 has 2 divisors, whose sum is σ = 102221021122202. Its totient is φ = 102221021122200.

The previous prime is 102221021122159. The next prime is 102221021122217. The reversal of 102221021122201 is 102221120122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92373223987801 + 9847797134400 = 9611099^2 + 3138120^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221021122201 - 2⁹ = 102221021121689 is a prime.

It is not a weakly prime, because it can be changed into another prime (102221021122291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110510561100 + 51110510561101.

It is an arithmetic number, because the mean of its divisors is an integer number (51110510561101).

Almost surely, 2^{102221021122201} is an apocalyptic number.

It is an amenable number.

102221021122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221021122201 is an equidigital number, since it uses as much as digits as its factorization.

102221021122201 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 102221021122201 its reverse (102221120122201), we get a palindrome (204442141244402).

The spelling of 102221021122201 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-one million, one hundred twenty-two thousand, two hundred one".