211100210917 has 2 divisors, whose sum is σ = 211100210918. Its totient is φ = 211100210916.

The previous prime is 211100210899. The next prime is 211100211011. The reversal of 211100210917 is 719012001112.

211100210917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 172498178241 + 38602032676 = 415329^2 + 196474^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211100210917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211100210891 and 211100210900.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211100210617) 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, 105550105458 + 105550105459.

It is an arithmetic number, because the mean of its divisors is an integer number (105550105459).

Almost surely, 2^211100210917 is an apocalyptic number.

It is an amenable number.

211100210917 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100210917 is an equidigital number, since it uses as much as digits as its factorization.

211100210917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 25.

The spelling of 211100210917 in words is "two hundred eleven billion, one hundred million, two hundred ten thousand, nine hundred seventeen".