Yes, we do live in an amazing time in history, where things are developing more exponentially faster than ever before. I love futurology and science fiction, it's so awesome and interesting to me what we could accomplish even within the next 100 years.
I've heard many scientists say they think the first person to live to 200+ years old could be alive today, which at first glance may seem unrealistic, but if you think about it is very realistic. Our understanding of the aging process is increasing exponentially now, and we already understand most of what causes it, and we have at least the basis of a solution for them. Blood cells stop reproducing, so we are developing ways to initiate continual reproduction and youthful cells. Organs fail, so we are learning to artificially (and with quite a bit of success so far) grow organs. Once deadly diseases have now nearly been wiped out of the civilized world (Tuberculosis, Smallpox, Polio), and developments in cancer are getting better and better (I heard 50 years ago a child with leukemia had a 90% of dying, but with today's treatments they have a 90% of survival). It's amazing what we've accomplished and are on the verge of accomplishing recently in the medical field.
I think there is a whole field of science (most likely in the area of quantum/particle physics) that holds the key to unlocking so many questions and unexplained phenomenal that have troubled us for centuries. From my very limited knowledge about quantum physics, there are some very crazy, almost fantasy-like things out there that we have only begun to scratch the surface of. Things that could lead to otherwise impossible technologies (time travel, teleporting, instant data transmission, etc.), and could even explain some strange phenomena that we can't begin to understand right now (possibly things like paranormal activity, the 'soul', unexplained 'connections' between people, memories of 'past lives', etc.).
Of course, computer technology will likely continue to improve at an exponential rate, with
Moore's Law holding true. I know, we are apparently reaching the physical limits of how small we can store data, but that's also what they thought 60 years ago when they used vacuum tubes for computers until microprocessors were invented. When people say that, they are only thinking in terms of current technology, but I'm sure some new technology will come up.
Anyways, this is all assuming we don't destroy ourselves through war first

. Hopefully the world will wake up one day soon and realize how stupid the reasons we fight are (ie: 'I want that resource you have.', 'No. I'll trade with you for it.', 'No, I'll just kill everyone that stands in my way to get it.' or even worse: 'I believe in this God.', 'Well, I believe in this slightly different God, let's kill each other to decide whose God is more peaceful.').
But we can only hope the human race survives long enough for people to realize how stupid we truly are

.