The full name is China People's Insurance Group Co., Ltd., which is divided into three parts. China People's Insurance Holding Company was established, and China People's Property Insurance Co., Ltd. and China People's Insurance Asset Management Co., Ltd. were initiated.
The PICC telephone insurance you mentioned belongs to the business scope of China People's Property Insurance Co., Ltd!
Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.