No nofollow links is a good way to get your website or blog penalized. If you don't have any backlinks on nofollow websites, Google will know you're using some sort of blackhat method, even if you're doing everything legitimately. There's a certain percentage to how many nofollow links you need to have on your website, and that is usually around 16-24 percent. Anything below that will trigger Google's red flags, and anything above that will not.