Is 1+1=2 analytic or synthetic?

From: Andrew (andrzej-tomaszewski_at_wp.pl)
Date: 12/29/04 

Date: 29 Dec 2004 04:50:39 -0800

Hello,
Would you be kind enough as to help me identify the category of the
proposition: 1+1=2 ? Is it analytic or synthetic a priori?
Apart from that, please, which part of mathematics is analytic (can be
deduced from entirely logical axioms) and what synthetic a priori? I
know that in Principia Mathematica Russell used e.g. the non-logical
axiom of infinity (what other?).
Thank you very much.
(Now, please, don't burn me.)
Andrew