100002002213 has 2 divisors, whose sum is σ = 100002002214. Its totient is φ = 100002002212.

The previous prime is 100002002207. The next prime is 100002002231. The reversal of 100002002213 is 312200200001.

It is a happy number.

Together with next prime (100002002231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98666976769 + 1335025444 = 314113^2 + 36538^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002002213 - 2¹⁶ = 100001936677 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 = 100002002194 and 100002002203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002002293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001001106 + 50001001107.

It is an arithmetic number, because the mean of its divisors is an integer number (50001001107).

Almost surely, 2^100002002213 is an apocalyptic number.

It is an amenable number.

100002002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002002213 is an equidigital number, since it uses as much as digits as its factorization.

100002002213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100002002213 its reverse (312200200001), we get a palindrome (412202202214).

The spelling of 100002002213 in words is "one hundred billion, two million, two thousand, two hundred thirteen".