I'm not sure if Data Protector is capable of this.
I gave you the 100 level off the top of my head, because this limitation has been in effect forever. So, I went to the Product Announcements Guide, pg 47, to check on this:
• From one backup object, only 1024 files and/or directories can be selected, otherwise select
the entire object. For details about backup objects, see the
HP Data Protector Help.
• Some filesystems allow creation of deep directory structures (deeper than 100). Data Protector
can only back up down to a depth of 100.
I thought about maybe splitting the Object into smaller Objects, but, realized that this still would not allow you to go over 100 levels deep