211222202210113 has 2 divisors, whose sum is σ = 211222202210114. Its totient is φ = 211222202210112.

The previous prime is 211222202210081. The next prime is 211222202210161. The reversal of 211222202210113 is 311012202222112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116917768373904 + 94304433836209 = 10812852^2 + 9711047^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222202210113 - 2⁵ = 211222202210081 is a prime.

It is a super-2 number, since 2×211222202210113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211222202310113) 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, 105611101105056 + 105611101105057.

It is an arithmetic number, because the mean of its divisors is an integer number (105611101105057).

Almost surely, 2^{211222202210113} is an apocalyptic number.

It is an amenable number.

211222202210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222202210113 is an equidigital number, since it uses as much as digits as its factorization.

211222202210113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 211222202210113 its reverse (311012202222112), we get a palindrome (522234404432225).

The spelling of 211222202210113 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred two million, two hundred ten thousand, one hundred thirteen".