22100010022213 has 2 divisors, whose sum is σ = 22100010022214. Its totient is φ = 22100010022212.

The previous prime is 22100010022201. The next prime is 22100010022267. The reversal of 22100010022213 is 31222001000122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13723483248484 + 8376526773729 = 3704522^2 + 2894223^2 .

It is a cyclic number.

It is not a de Polignac number, because 22100010022213 - 2⁹ = 22100010021701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100010022273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050005011106 + 11050005011107.

It is an arithmetic number, because the mean of its divisors is an integer number (11050005011107).

Almost surely, 2^{22100010022213} is an apocalyptic number.

It is an amenable number.

22100010022213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100010022213 is an equidigital number, since it uses as much as digits as its factorization.

22100010022213 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 16.

Adding to 22100010022213 its reverse (31222001000122), we get a palindrome (53322011022335).

The spelling of 22100010022213 in words is "twenty-two trillion, one hundred billion, ten million, twenty-two thousand, two hundred thirteen".