102202122010201 has 2 divisors, whose sum is σ = 102202122010202. Its totient is φ = 102202122010200.

The previous prime is 102202122010199. The next prime is 102202122010207. The reversal of 102202122010201 is 102010221202201.

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., 101438335155600 + 763786854601 = 10071660^2 + 873949^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202122010201 - 2¹ = 102202122010199 is a prime.

Together with 102202122010199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102202122010207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101061005100 + 51101061005101.

It is an arithmetic number, because the mean of its divisors is an integer number (51101061005101).

Almost surely, 2^{102202122010201} is an apocalyptic number.

It is an amenable number.

102202122010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202122010201 is an equidigital number, since it uses as much as digits as its factorization.

102202122010201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102202122010201 its reverse (102010221202201), we get a palindrome (204212343212402).

The spelling of 102202122010201 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, ten thousand, two hundred one".