Short on time? Both are white Rolesor: Oystersteel with an 18k white gold fluted bezel. The 116234 is the classic 36mm Datejust with the calibre 3135 and about 48 hours of power reserve. The 126334 is the modern 41mm version with the calibre 3235 and about 70 hours. The real question is size. We have a 2007 116234 and two 2026 126334s.

Backstory
The Datejust has been around since 1945, and 36mm was its size for most of that time. The 41mm version came along in the 2010s for people who wanted the same look with more presence, and the white Rolesor 126334 followed in 2017. Same idea, two very different watches on the wrist.
Size and Wear
This is the decision. The 36mm Datejust is the classic proportion: it sits neatly under a cuff and suits almost any wrist. At 41mm, the flat dial and fluted bezel make the 126334 wear noticeably bigger. If you have a smaller wrist or like a vintage feel, the 36 is the one. If you've always found the 36 a little small, the 41 fixes that.

Movement
The 3135 in the 116234 is one of the most reliable movements Rolex has made, with about 48 hours of power reserve. The 3235 in the 126334 is newer, with the Chronergy escapement and about 70 hours, so it'll survive a weekend off the wrist. Both are proper Rolex chronometers.
Dials
Our 116234 has a crisp white dial, as classic as it gets. Our two 126334s show the range of the modern watch: the slate "Wimbledon" with green Roman numerals, and a black sunray. We've written about the 41 in detail in our Datejust 41 guide and the 36 in our 116234 guide.
Which One We'd Pick
Try both on. Honestly, it's that simple. Most people know within a few seconds which size is "theirs".
Final Thoughts
The 116234 is the Datejust as it's been for decades. The 126334 is the same idea, scaled up with a better movement. Neither is better; one of them will just feel right.
In the safe: a 2007 Datejust 36 116234 with white dial, and two 2026 Datejust 41s, Wimbledon and black.

