I am very sure it is a Platinum Day Date. It is a president bracelet, which is not used on the Datejust, and from the pictures it looks like the day field is also there. Just my 2 cents.
WOW!!! Really nice! Must however say that it is not a Rolex Sub, it is the new and BIGGER Rolex Deep Sea Dweller which is 44mm and thus 4mm bigger than the 40mm sub.