100221002213 has 2 divisors, whose sum is σ = 100221002214. Its totient is φ = 100221002212.

The previous prime is 100221002197. The next prime is 100221002227. The reversal of 100221002213 is 312200122001.

It is a happy number.

It is an a-pointer prime, because the next prime (100221002227) can be obtained adding 100221002213 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55386327649 + 44834674564 = 235343^2 + 211742^2 .

It is an emirp because it is prime and its reverse (312200122001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100221002213 - 2⁴ = 100221002197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221002293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110501106 + 50110501107.

It is an arithmetic number, because the mean of its divisors is an integer number (50110501107).

Almost surely, 2^100221002213 is an apocalyptic number.

It is an amenable number.

100221002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221002213 is an equidigital number, since it uses as much as digits as its factorization.

100221002213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100221002213 its reverse (312200122001), we get a palindrome (412421124214).

The spelling of 100221002213 in words is "one hundred billion, two hundred twenty-one million, two thousand, two hundred thirteen".