102100222000201 has 2 divisors, whose sum is σ = 102100222000202. Its totient is φ = 102100222000200.

The previous prime is 102100222000199. The next prime is 102100222000213. The reversal of 102100222000201 is 102000222001201.

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., 87734787889225 + 14365434110976 = 9366685^2 + 3790176^2 .

It is an emirp because it is prime and its reverse (102000222001201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102100222000201 - 2¹ = 102100222000199 is a prime.

Together with 102100222000199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102100222000261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050111000100 + 51050111000101.

It is an arithmetic number, because the mean of its divisors is an integer number (51050111000101).

Almost surely, 2^{102100222000201} is an apocalyptic number.

It is an amenable number.

102100222000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100222000201 is an equidigital number, since it uses as much as digits as its factorization.

102100222000201 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 13.

Adding to 102100222000201 its reverse (102000222001201), we get a palindrome (204100444001402).

The spelling of 102100222000201 in words is "one hundred two trillion, one hundred billion, two hundred twenty-two million, two hundred one", and thus it is an aban number.