Yes - of course the night issue doesn't arise in space, provided there are enough panels to intercept sunlight from any direction. With the tiny power consumption described, I'd have thought storage batteries would be easy to arrange and more convenient, lighter, and cheaper than anything nuclear....
... a standard car battery... is rated at 45 amp/hours. That means it can crank out 2.25 amps for 20 hours. ... averaging about 12 volts during the period. 2.25 amps times 12 volts equals 27 watts. 27 watts times 20 hours equals 540 watt/hours...
The Martian day is about the same as earth. Even the tilt of its axis resembles the earth's. So two or three car batteries would be fine for 125 watts. -- But if you invoice them for a few tens of millions of dollars for a supposed nuclear thing, you can pay a PR firm to tell lies, and pocket the rest.