211110034091249 has 2 divisors, whose sum is σ = 211110034091250. Its totient is φ = 211110034091248.

The previous prime is 211110034091237. The next prime is 211110034091251. The reversal of 211110034091249 is 942190430011112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164665536490849 + 46444497600400 = 12832207^2 + 6815020^2 .

It is a cyclic number.

It is not a de Polignac number, because 211110034091249 - 2⁴ = 211110034091233 is a prime.

Together with 211110034091251, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (211110034091219) 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, 105555017045624 + 105555017045625.

It is an arithmetic number, because the mean of its divisors is an integer number (105555017045625).

Almost surely, 2^{211110034091249} is an apocalyptic number.

It is an amenable number.

211110034091249 is a deficient number, since it is larger than the sum of its proper divisors (1).

211110034091249 is an equidigital number, since it uses as much as digits as its factorization.

211110034091249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 211110034091249 in words is "two hundred eleven trillion, one hundred ten billion, thirty-four million, ninety-one thousand, two hundred forty-nine".