102212211010201 has 2 divisors, whose sum is σ = 102212211010202. Its totient is φ = 102212211010200.

The previous prime is 102212211010199. The next prime is 102212211010207. The reversal of 102212211010201 is 102010112212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101346099726400 + 866111283801 = 10067080^2 + 930651^2 .

It is an emirp because it is prime and its reverse (102010112212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102212211010201 - 2¹ = 102212211010199 is a prime.

Together with 102212211010199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102212211010207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106105505100 + 51106105505101.

It is an arithmetic number, because the mean of its divisors is an integer number (51106105505101).

Almost surely, 2^{102212211010201} is an apocalyptic number.

It is an amenable number.

102212211010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212211010201 is an equidigital number, since it uses as much as digits as its factorization.

102212211010201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102212211010201 its reverse (102010112212201), we get a palindrome (204222323222402).

The spelling of 102212211010201 in words is "one hundred two trillion, two hundred twelve billion, two hundred eleven million, ten thousand, two hundred one".