This level of resource cannot fit any more comfortably into our sort of society than large disposable incomes and copious free time could fit into a feudal system. Rapid, accelerating technological change implies more than just social changes however. Consider the human-equivalent computers which may arise in the next century. There is no guarantee that we will be able to build a human mind into a machine, indeed if Roger Penrose and his intellectual predecessors are correct, it may not even be possible in principle. Nonetheless, there are already numerous examples where computer systems can exceed human capabilities.
Chess programs can already defeat the vast majority of human players.
Semiconductor design systems can layout microprocessor circuitry too complex for human designers to handle. Medical and geological expert systems already achieve lower error rates than human experts diagnosing disease and locating ore bodies. Imagine a large distributed system of the early 2100s consisting of a sophisticated planning module with access to specialised design programs, large databases of psychological and political theory, powerful economic modelling software, automated factories, conversational expert systems and a clearly defined set of goals. Maybe, maybe not - it depends upon your prejudices. Definitely - frighteningly so.