What does totemo desu mean?

Answer 1

とっても (tottemo) means "very" in Japanese. It's usually attached to adjectives in much a similar fashion as すごく (sugoku), though its use has a different sound to it. すごく is actually an adverbial stem of the adjective 凄い (sugoi) which means "great" and would have a quality more along the lines of "immensely", whereas とっても has the feeling of "exceedingly". An example of this difference could be すごく綺麗な (sugoku kirei na) versus とっても綺麗な (tottemo kirei na). For all intents and purposes, they have the same meaning of "very pretty", but they each carry a distinctive difference in tone, showing a difference in the level of "very".

Answer 2

As it stands, it's not really a grammatically functional construction. 'Totemo' means "very," and 'desu' is what is called a "copula," a word that links a subject and predicate. In English, it is often translated as a verb of existence.

Thus, literally translated, this means "is very [something]." We're missing the adjective. For example, you could put 'ii' in there to be 'totemo ii desu,' or "It's very good."