In chapter 56, Tomoko watches an episode of My Little Pony: Friendship Is Magic after seeing an image of Rainbow Dash (the character that Izumi Kitta, Tomoko's seiyuu, voices in the Japanese dub) on the TV screen.
/v/'s nickname for Tomoko is "Spaghetti-tan", because of their meme about spaghetti leaking out of their pockets during socially awkward situations, seemingly for no other reason than to make the situation even more awkward and embarrassing for them. Turns into an Ascended Meme when, as a thank-you to foreign audiences, Tanigawa drew a picture of Tomoko actually eating spaghetti.
World Three, the primary scanlation group for the series, affectionately gave the manga the project title "loser girl."
"Slut-chan" for Yuu, because in Tomoko's eyes girls more socially adept than she is are "bitches" or "sluts".
What Could Have Been: According to the Japanese Wikipedia at least, the authors originally planned Tomoko not to have a single friend. The editor found this premise too depressing and asked the authors to introduce a friend for Tomoko, which is why Yuu was created.
Write Who You Know: The series is based on the authors' own experiences. The reason why Tomoko doesn't deal with bullying is because one of the authors was bullied, and that would hit too close to home.