2001 Harley-Davidson FLSTF/FLSTFI Fat Boy, Great older Fat Boy with a custom Vance & Hines exhaust, chrome wheels, saddlebags and much more! - Classic styling combined with modern engineering. Like all Softails, Harleys Fat Boy is now available in either carbureted or injected models. One improvement not limited to the Softail series involves a change to the oil system. All 2001-model Harley-Davidson motorcycles filter their oil prior to entering the engine, rataher than upon leaving the engine enroute to the remote oil tank, meaning critical engine components receive cleaner oil.