The Bajaj Allianz Health Infinity Plan offers an unlimited sum insured option to alleviate financial burdens from hospital bills, allowing customization of room rent and co-pay options. Key features include coverage for self, family, and pre-existing conditions after 36 months, with a hassle-free claim settlement process and cashless services at a network of hospitals. However, it excludes treatments related to substance abuse, cosmetic surgeries, and certain dental procedures.