211210221110113 has 2 divisors, whose sum is σ = 211210221110114. Its totient is φ = 211210221110112.

The previous prime is 211210221110087. The next prime is 211210221110137. The reversal of 211210221110113 is 311011122012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110103636608784 + 101106584501329 = 10493028^2 + 10055177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211210221110113 is a prime.

It is not a weakly prime, because it can be changed into another prime (211210221110153) 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, 105605110555056 + 105605110555057.

It is an arithmetic number, because the mean of its divisors is an integer number (105605110555057).

Almost surely, 2^{211210221110113} is an apocalyptic number.

It is an amenable number.

211210221110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211210221110113 is an equidigital number, since it uses as much as digits as its factorization.

211210221110113 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 19.

Adding to 211210221110113 its reverse (311011122012112), we get a palindrome (522221343122225).

The spelling of 211210221110113 in words is "two hundred eleven trillion, two hundred ten billion, two hundred twenty-one million, one hundred ten thousand, one hundred thirteen".