22102100213 has 2 divisors, whose sum is σ = 22102100214. Its totient is φ = 22102100212.

The previous prime is 22102100161. The next prime is 22102100221. The reversal of 22102100213 is 31200120122.

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., 20736576004 + 1365524209 = 144002^2 + 36953^2 .

It is a cyclic number.

It is not a de Polignac number, because 22102100213 - 2¹⁰ = 22102099189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22102100243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11051050106 + 11051050107.

It is an arithmetic number, because the mean of its divisors is an integer number (11051050107).

Almost surely, 2^22102100213 is an apocalyptic number.

It is an amenable number.

22102100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22102100213 is an equidigital number, since it uses as much as digits as its factorization.

22102100213 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 22102100213 its reverse (31200120122), we get a palindrome (53302220335).

The spelling of 22102100213 in words is "twenty-two billion, one hundred two million, one hundred thousand, two hundred thirteen".