What is the country code and area code of Luzern Switzerland?

Switzerland is country code +41.

Switzerland no longer has area codes, per se: you must dial the entire number on all calls. However, most landline telephone numbers in Lugano begin with 091 (in Swiss domestic format) or +41 91 (in international format).

(The plus sign means "insert your international access prefix here." From a GSM mobile phone, you can enter the number in full international format, starting with the plus sign. The most common prefix is 00, but North America (USA, Canada, etc.) uses 011, and many other countries use different prefixes.)