The Prince hotel has three buildings (West, South and East) and we stayed in the South Wing, which offers a convenient and direct access to the Gondola 2 of the Yakebitaiyama ski resort.
The hotel clearly shows signs of aging but they managed to keep it in good shape. The rooms are small, within the Japanese average size, but still offering enough comfort. Anyway, skiing was our primary objective!
The room is cleaned every 4 days, which for us didn't really pose a problem. A kettle is available in the room and every other floor will have hot water dispenser for guests. There are vending machines everywhere and a convenience shop next to the front desk.
Staff are polite but English is limited. Luckily there was an English speaking staffer around most of the time we stayed there and we went to him for almost every inquiry.
Dining options are limited since walking to Ichinose village takes at least 20 minutes. Nevertheless the hotel has a shuttle bus connecting the three buildings and in the evening goes (only once) all the way to Ichinose, and back around 9pm.
In the South Wing itself, there's a new izakaya in premises (next to the ski rental shop) and the hotel restaurant, where they serve a dinner buffet.
There are also lockers on the ground floor where one can leave the ski gear (the locker number corresponds to your room number).
The only drawback for us was that the wifi was only available in the common areas.