In the Earth time, the spaceship would take a bit longer than 10m years to reach it, however. Plus the energy required to reach such velocity would probably be more than mass of the Earth if we were to annihilate it.
Well, accelerating a 100 ton spaceship to 0.99c (assuming some sort of beamed propulsion) requires only 2000 Terawattyears [1].
Of course, to turn 1e6 years into 1 year relative time, one needs like 0.99999999c, one needs 2 million Terawatt years [2], which is a much bigger energy investment, but still not on the order of annihilating the planet.
Breaking is gonna be a bitch tho.
[1] 100000 kg * (0.99 * c)^2 / sqrt(1-.99^2) in Terawatt Years
[2] 100000 kg * ( 0.99999999 * c)^2 / sqrt(1-0.99999999^2) in Terawatt Years
