If the solar system was being sucked into a black hole at the centre of the universe then so would everything else. We're actually on the edge of the universe, a long way down one of the spiral arms, so for a black hole to be massive enough to be sucking us in it would have to be taking the rest of the universe with it. If that was the case, then the universe would be contracting, and we would be getting closer to all our neighbouring galaxies - we'd probably be able to detect that (as well as the black hole).
Sorry - got confused between universe & galaxy. Our galaxy, the Milky Way, has us near the edge of it. It also has a black hole in the middle.
Here's a map of what we know of the universe (you can zoom in to find the map of the Milky Way):
It would take an insanely massive black hole to suck in entire multiple galaxies - the largest we currently know of is not big enough to do that (it's here:
http://en.wikipedia.org/wiki/OJ_287 ). This type is a "super massive black hole" - no-one has yet characterised an "insanely massive black hole" (I call dibs on the origin of the name, if we ever discover one!).