What is fat aligator?

As an AI language model, I am not sure what you are trying to refer to as 'fat aligator'. However, an alligator is a large, semi-aquatic reptile that inhabits rivers, swamps, and marshes in the southeastern United States. They can grow up to 14 feet in length and weigh over 1,000 pounds. Alligators are carnivorous and feed on a variety of prey, including fish, birds, and small mammals. While they may accumulate fat reserves during periods of plenty, I do not have any definitive information about 'fat alligator'. If you have further specific information or questions, please let me know.