211716101 has 8 divisors (see below), whose sum is σ = 213694104. Its totient is φ = 209744640.

The previous prime is 211716083. The next prime is 211716161. The reversal of 211716101 is 101617112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19228225 + 192487876 = 4385^2 + 13874^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211716101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211716161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82721 + ... + 85241.

It is an arithmetic number, because the mean of its divisors is an integer number (26711763).

Almost surely, 2^211716101 is an apocalyptic number.

It is an amenable number.

211716101 is a deficient number, since it is larger than the sum of its proper divisors (1978003).

211716101 is a wasteful number, since it uses less digits than its factorization.

211716101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271.

The product of its (nonzero) digits is 84, while the sum is 20.

The square root of 211716101 is about 14550.4673808095. The cubic root of 211716101 is about 596.0069112076.

It can be divided in two parts, 21171 and 6101, that added together give a palindrome (27272).

The spelling of 211716101 in words is "two hundred eleven million, seven hundred sixteen thousand, one hundred one".