On this topic, a deep excursion of the linguistic patters if the Petras petro time may help a lot.
Like Jesus tells Peter that “Matthew 16:18 And I say also unto thee, That thou art Peter, and upon this rock I will build my church; and the gates of hell shall not prevail against it.”
To me, and through a cross-reference with Peter’s denial on Christ, and given that Peter later looked down upon the gentiles when Paul confronted him for leaving the table where the gentiles were eating, Peter was a rolling stone and not the immovable stone upon which the gates of hell shall not prevail.
Christ talks to Peter as to a disciple, that you are Peter, you are a rolling stone. In other words, Peter shall be tempted often and often, but he’s given the mandate to strengthen the church of God. Christ, on the other hand, is the solid Rock, the cornerstone, the immovable rock. He who builds on the solid rock shall not be moved and tossed to and fro. When Peter later realised his instability, he cried and repented bitterly and remorseful. It’s like saying, "thou art Peter, and upon ‘this rock’, ‘’‘myself’’’ as in Jesus Christ, the gates of hell shall not prevail.
The gates of hell in this case indicates the snares of Satan.
The word Peter signifies a stone,—a rolling stone. Peter was not the rock upon which the church was founded. The gates of hell did prevail against him when he denied his Lord with cursing and swearing…That Rock is Himself,—His own body, for us broken and bruised. Against the church built upon this foundation, the gates of hell shall not prevail.