This app was mentioned in 2 comments, with an average of 2.00 upvotes
I have mVPM and Smart Geology but I find them both a little lacking.
This periodic table app is nice, and you can customize how much info it gives you
With your reply definition of "exotic" being mostly just uniqueness, I always thought Technetium was cool. It is the only non-naturally formally element up to Polonium. All the elements after that are man-made. Bromine and Mercury are also cool as they are the only elements that their natural state is liquid!
If you want to know a bit about anti-matter. As far as we know, it behaves with other anti-matter just as normal matter does with matter. It's remarkable. Theoretically, we could create a whole periodic table of anti-matter that would mimic our matter table.
If you want to get more into chemistry with cool facts and such, I highly recommend downloading the Royal Society of Chemistry Periodic Table App (Apple, Android, and Online). If you click the higher level option in the app, you get the most information. Another cool collection of information is the Periodic Table Videos on Youtube from the University of Nottingham (My Uni! My friends have classes with the guy with the mad scientist hair). Myself, and others, are always happy to answer your questions so don't hesitate to ask!