Ultimately, as Stephen Hawking taught us, even those black holes will evaporate. After about 1 googol (10100) years, all of the black holes in our observable universe will have evaporated into a thin mist of particles, which will grow more and more dilute as space continues to expand. The end result of this, our most likely scenario for the future of our universe, is nothing but cold, empty space, which will last literally forever.