What you have there is a "Wally-World Special." They're only availabe through Wal-Mart, (or used of course). Other than the longer barrel, and the DSP (delux sporter) type hardwood stock, they're no different than any other 10/22, just a lot nicer looking.
Here's mine. My wife's actually. Scope is a cheap Bushnell, 4x.
Now, Ruger does make a version of the DSP, 10/22 with a SS barrel, and a walnut stock for Davidson's, I understand, but as far as I know, that has an 18 1/2 in barrel, the same as the blued DSP. If the stock is the lighter hardwood, it's a WWS.
Here's one of my blue DSP's for comparison.
Now, you mentioned that it felt "bigger." I've noticed, and I don't know why, but the stock on our WWS feels "thicker" especially through the pistol grip area. Or maybe the walnut one feels thinner. I'm not sure why that's so. It coule be that walnut is stronger maybe? Or just that it's a difference in the year of manufacture. The blue one was made in 1997 the SS one in 2006.
Probably more information than you wanted. Enjoy your new rifle. They're a lot of fun.