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Yes this two would mate. 3106 has a Female coupling thread and the 3101 has a Male thread. the P and the S at the end of the number denotes Pins or Sockets for the electrical connectors. The 16-9 has four connectors of which 2 are 16 GA and 2 are 12 GA.
I believe that this link will take you to the meaning of the part number break down from page 70 of the data sheet.