Question Summary:
How many times Rasulullah Sallahu Alayhi Wasallam performed Hajj?

Question Detail:

how many times did the prophet SAW perform the hajj pilgrimage? Is tere any special virtues in the month of hajj like extra rewards of doing good deeds?

Answer :

In the Name of Allah, the Most Gracious, the Most Merciful.
As-salāmu ‘alaykum wa-rahmatullāhi wa-barakātuh.
Rasulullah Sallahu Alayhi Wasallam performed many Hajjs before being a prophet and after being a prophet before Hijrah. The actual number of times Rasulullah Sallahu Alayhi Wa Sallam performed Hajj is not known. The Fardh Hajj was performed once in the 10^th year after Hijrah which was known as Hajjatul Widaa’ (the farewell Hajj) [1][2].
 
And Allah Ta’āla Knows Best
Immad Bin Arshad
Student Darul Iftaa
California, USA
Checked and Approved by,
Mufti Ebrahim Desai.
www.daruliftaa.net