101010000100213 has 2 divisors, whose sum is σ = 101010000100214. Its totient is φ = 101010000100212.

The previous prime is 101010000100111. The next prime is 101010000100267. The reversal of 101010000100213 is 312001000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70036512163524 + 30973487936689 = 8368782^2 + 5565383^2 .

It is an emirp because it is prime and its reverse (312001000010101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010000100213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101010000100213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010000190213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000050106 + 50505000050107.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000050107).

Almost surely, 2^{101010000100213} is an apocalyptic number.

It is an amenable number.

101010000100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000100213 is an equidigital number, since it uses as much as digits as its factorization.

101010000100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101010000100213 its reverse (312001000010101), we get a palindrome (413011000110314).

The spelling of 101010000100213 in words is "one hundred one trillion, ten billion, one hundred thousand, two hundred thirteen".