I used to do a lot of back-to-back long rides most Saturdays and Sundays. That was the bulk of my endurance event training--and I mostly did just fine during those events. While I did ride during the week, those rides were mostly shorter and faster. Regardless, you should ideally get to a point where you can ride 75-80 miles comfortably before doing a century.
But choosing the right century helps as others have said. Make sure there isn't a time limit that you can't easily meet. If the century is likely to be hilly and/or windy; that's fine, but you have to train for those conditions. My first century was hilly. It was challenging, but I did it. Heat is a factor, too. Doing a 100 miles on a 90-degree day with high humidity is tough, even for seasoned people.
Live with intention. Walk to the edge. Listen hard. Practice wellness. Play with abandon. Laugh. Choose with no regret. Continue to learn. Appreciate your friends. Do what you love. Live as if this is all there is.
--Mary Anne Radmacher