211221222300113 has 2 divisors, whose sum is σ = 211221222300114. Its totient is φ = 211221222300112.

The previous prime is 211221222300107. The next prime is 211221222300191. The reversal of 211221222300113 is 311003222122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208516141447744 + 2705080852369 = 14440088^2 + 1644713^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221222300113 - 2¹⁰ = 211221222299089 is a prime.

It is a super-2 number, since 2×211221222300113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211221222300313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610611150056 + 105610611150057.

It is an arithmetic number, because the mean of its divisors is an integer number (105610611150057).

Almost surely, 2^{211221222300113} is an apocalyptic number.

It is an amenable number.

211221222300113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221222300113 is an equidigital number, since it uses as much as digits as its factorization.

211221222300113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 211221222300113 its reverse (311003222122112), we get a palindrome (522224444422225).

The spelling of 211221222300113 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, three hundred thousand, one hundred thirteen".