The solar system orbits that supermassive black hole at a distance of 28,000 light years....It takes 250 million years for just one orbit (at a speed of 270 km/sec).
What will happen is that the Andromeda galaxy will likely cross ours , pass it and return back in 7 Billion years just about when our own sun will become a white dwarf (after engulfing the Earth)...And that second encounter could expell what's left of the solar system way out of the center of our galaxy (3 times further).....
Plenty of far more likely things will happen before there's a chance we collide with our own supermassive black hole.