Preheat your oven to 350° F. Liberally grease a 10-cup Bundt pan with shortening and flour, or baking spray. When making Bundts, for added "insurance" I like to use shortening and flour.
In the bowl of a stand mixer fitted with the paddle attachment, cream together the sugar and oil for about 30 seconds or until combined. Add in the eggs, one at a time, mixing on low speed until just blended, followed by the vanilla extract. Meanwhile, in a separate medium bowl, combine the baking soda, pumpkin pie spice, salt, and flour and whisk to incorporate. Alternate adding in the flour mixture with adding in some of the canned pumpkin puree until all of the flour and pumpkin has been added. Make sure to scrape down the bottom and sides of the mixing bowl.
Pour the pumpkin batter into the prepared Bundt pan and spread out the top. Bake for 60-65 minutes or until a toothpick or cake tester inserted near the center comes out clean or with moist, but not wet, crumbs. Cool in the pan for about 30 minutes, then very carefully and gently invert it onto a wire rack to cool completely.
For the frosting: In a medium bowl, combine the softened cream cheese, Tablespoon of butter, and vanilla extract and beat with a handheld electric mixer until creamy and smooth. Add in the confectioners' sugar and mix until fully combined.
Fill a disposable piping bag with the cream cheese frosting (no need to use a piping tip!) and snip off the end. Pipe the frosting over the cooled Bundt cake. Serve immediately, or store leftovers covered airtight in the fridge.