Barcelona have won 3 world trophies and a total of 21 European trophies including 4 Champions League and 4 UEFA Winners cups. Within Spain, they have 21 La Liga trophies, 26 Copa del Ray trophies and 16 from other national events. They also have 23 regional trophies.
This brings their total number of single trophies to 115, but there are also double and triple events and non-official matches, which makes it harder to calculate the number exactly. It's very hard to compare the total wins of different clubs, because one list will include, for example, regional events, while another will not, and so on. This is why you find so many arguments on the forums!
It could be interesting to contact club websites individually and ask them how many trophies they've won, and how they calculate them (ie which events are included or left out).