211100117 has 2 divisors, whose sum is σ = 211100118. Its totient is φ = 211100116.

The previous prime is 211100093. The next prime is 211100129. The reversal of 211100117 is 711001112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107039716 + 104060401 = 10346^2 + 10201^2 .

It is a cyclic number.

It is not a de Polignac number, because 211100117 - 2¹⁸ = 210837973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211100137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550058 + 105550059.

It is an arithmetic number, because the mean of its divisors is an integer number (105550059).

Almost surely, 2^211100117 is an apocalyptic number.

It is an amenable number.

211100117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211100117 is an equidigital number, since it uses as much as digits as its factorization.

211100117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 14.

The square root of 211100117 is about 14529.2848068995. The cubic root of 211100117 is about 595.4283260971.

Adding to 211100117 its reverse (711001112), we get a palindrome (922101229).

The spelling of 211100117 in words is "two hundred eleven million, one hundred thousand, one hundred seventeen".