211117001 has 2 divisors, whose sum is σ = 211117002. Its totient is φ = 211117000.

The previous prime is 211116991. The next prime is 211117007. The reversal of 211117001 is 100711112.

211117001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210975625 + 141376 = 14525^2 + 376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211117001 is a prime.

It is a super-2 number, since 2×211117001² = 89140776222468002, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (211117007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105558500 + 105558501.

It is an arithmetic number, because the mean of its divisors is an integer number (105558501).

Almost surely, 2^211117001 is an apocalyptic number.

It is an amenable number.

211117001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211117001 is an equidigital number, since it uses as much as digits as its factorization.

211117001 is an evil number, because the sum of its binary digits is even.

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

The square root of 211117001 is about 14529.8658286992. The cubic root of 211117001 is about 595.4441999930. Note that the first 3 decimals are identical.

Adding to 211117001 its reverse (100711112), we get a palindrome (311828113).

The spelling of 211117001 in words is "two hundred eleven million, one hundred seventeen thousand, one".