102202221200201 has 2 divisors, whose sum is σ = 102202221200202. Its totient is φ = 102202221200200.

The previous prime is 102202221200171. The next prime is 102202221200203. The reversal of 102202221200201 is 102002122202201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102144273156025 + 57948044176 = 10106645^2 + 240724^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202221200201 - 2³⁴ = 102185041331017 is a prime.

Together with 102202221200203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102202221200201.

It is not a weakly prime, because it can be changed into another prime (102202221200203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101110600100 + 51101110600101.

It is an arithmetic number, because the mean of its divisors is an integer number (51101110600101).

Almost surely, 2^{102202221200201} is an apocalyptic number.

It is an amenable number.

102202221200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202221200201 is an equidigital number, since it uses as much as digits as its factorization.

102202221200201 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 102202221200201 its reverse (102002122202201), we get a palindrome (204204343402402).

The spelling of 102202221200201 in words is "one hundred two trillion, two hundred two billion, two hundred twenty-one million, two hundred thousand, two hundred one".