210212100017 has 2 divisors, whose sum is σ = 210212100018. Its totient is φ = 210212100016.

The previous prime is 210212099971. The next prime is 210212100019. The reversal of 210212100017 is 710001212012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181374626161 + 28837473856 = 425881^2 + 169816^2 .

It is a cyclic number.

It is not a de Polignac number, because 210212100017 - 2¹⁸ = 210211837873 is a prime.

It is a super-2 number, since 2×210212100017² (a number of 23 digits) contains 22 as substring.

Together with 210212100019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 210212099968 and 210212100004.

It is not a weakly prime, because it can be changed into another prime (210212100019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105106050008 + 105106050009.

It is an arithmetic number, because the mean of its divisors is an integer number (105106050009).

Almost surely, 2^210212100017 is an apocalyptic number.

It is an amenable number.

210212100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

210212100017 is an equidigital number, since it uses as much as digits as its factorization.

210212100017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 210212100017 its reverse (710001212012), we get a palindrome (920213312029).

The spelling of 210212100017 in words is "two hundred ten billion, two hundred twelve million, one hundred thousand, seventeen".