This number is a composite.
210 is the smallest number with 4 distinct prime divisors.
It has been estimated that 210 becomes a "jumping champion" at around 10^425.
The number of distinct representations of a number n as the sum of two primes is at most the number of primes in the interval [n/2, n-2], and 210 is the largest value of n for which this upper bound is attained. In other words, 210 is the largest positive integer n that can be written as the sum of two primes in π(n - 2) - π(n/2 - 1) distinct ways. Reference: An upper bound in Goldbach's problem. [Capelle]
210^k+1 is prime for k = 2, 1, 0. [Bajpai]
Bergot's Problem: Let p,q,r be three consecutive primes and note that |101^2-97*103| = 7# = 210. Does there exist another solution p,q,r |q^2-p*r| that equals a larger primorial?
210 is the product of the first (2!+1!+0!) primes. [Worrom]