200102221012013 has 2 divisors, whose sum is σ = 200102221012014. Its totient is φ = 200102221012012.

The previous prime is 200102221011839. The next prime is 200102221012073. The reversal of 200102221012013 is 310210122201002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108023553459844 + 92078667552169 = 10393438^2 + 9595763^2 .

It is a cyclic number.

It is not a de Polignac number, because 200102221012013 - 2²⁸ = 200101952576557 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200102221011982 and 200102221012000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200102221012073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100051110506006 + 100051110506007.

It is an arithmetic number, because the mean of its divisors is an integer number (100051110506007).

Almost surely, 2^{200102221012013} is an apocalyptic number.

It is an amenable number.

200102221012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

200102221012013 is an equidigital number, since it uses as much as digits as its factorization.

200102221012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 200102221012013 its reverse (310210122201002), we get a palindrome (510312343213015).

The spelling of 200102221012013 in words is "two hundred trillion, one hundred two billion, two hundred twenty-one million, twelve thousand, thirteen".