Preheat the oven to 400 degrees F. Generously grease (with cooking spray) and then lightly flour a large, 12-cup Bundt pan.
Remove the cinnamon roll dough and cut each roll into quarters.
In a medium bowl, mix together cinnamon and sugar and then toss the cinnamon roll dough quarters in the bowl until well coated.
Once coated with cinnamon sugar, add roll pieces to the prepared Bundt pan.
Melt butter and stir in the brown sugar and vanilla; pour over the dough in the Bundt pan.
Bake for 25-35 minutes, or until no longer gooey in the center. Remove and let cool for 10-15 minutes. Once it's still warm, but no longer hot, you can flip the Cinnamon Roll Monkey bread onto a plate.
Transfer the icing from the can into a plastic bag. Snip off the tip with scissors and pipe it all over the cake.