Shorter name for PRC than 中华人民共和国
Following are the internationally recognized terms used. They should be very clear for you to find out the English equivalent:

中(华人民共和)国 — () usually omitted unless very formal
[中国]大陆 — [] not often omitted
台湾{地区} / {中国}台湾 — {} showing political preference
{中国}香港 — {} showing political preference
{中国}澳门 — {} showing political preference