So, after 1042 years, only a quarter of the bonds will be intact. After 100 million years, only 1 in every 2^190000 bonds will be expected to still be intact. Taking 2^10 = 1000, that's 1 in every 10^57000. I think that's quite a bit higher than our estimate for the number of particles in the universe (https://www.quora.com/How-many-particles-are-there-in-the-un...)
That half-life is the time it takes for the link between half of the bonds between nucleotides to break (http://www.nature.com/news/dna-has-a-521-year-half-life-1.11...)
So, after 1042 years, only a quarter of the bonds will be intact. After 100 million years, only 1 in every 2^190000 bonds will be expected to still be intact. Taking 2^10 = 1000, that's 1 in every 10^57000. I think that's quite a bit higher than our estimate for the number of particles in the universe (https://www.quora.com/How-many-particles-are-there-in-the-un...)
TL/DR: I wouldn't bet on it.