102010200200201 has 2 divisors, whose sum is σ = 102010200200202. Its totient is φ = 102010200200200.

The previous prime is 102010200200173. The next prime is 102010200200221. The reversal of 102010200200201 is 102002002010201.

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., 89203113667600 + 12807086532601 = 9444740^2 + 3578699^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010200200201 - 2³⁴ = 101993020331017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (102010200200221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005100100100 + 51005100100101.

It is an arithmetic number, because the mean of its divisors is an integer number (51005100100101).

Almost surely, 2^{102010200200201} is an apocalyptic number.

It is an amenable number.

102010200200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010200200201 is an equidigital number, since it uses as much as digits as its factorization.

102010200200201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102010200200201 its reverse (102002002010201), we get a palindrome (204012202210402).

The spelling of 102010200200201 in words is "one hundred two trillion, ten billion, two hundred million, two hundred thousand, two hundred one".