If the +0 prefix is a constant, then you can just quote it using singlequotes.
String string = "+020110312";
Date date = new SimpleDateFormat("'+0'yyyyMMdd").parse(string);
System.out.println(date); // Sat Mar 12 00:00:00 GMT-04:00 2011
(outcome is correct as per my timezone)
Note that months are represented by MM not mm. The mm represents minutes. Using mm for months would corrupt the parsing outcome.
See also:
Update: since that seem to vary in the future "but in future it may be more than one zeros", you can better consider to substring the last 8 characters.
String string = "+020110312";
Date date = new SimpleDateFormat("yyyyMMdd").parse(string.substring(string.length() - 8));
System.out.println(date); // Sat Mar 12 00:00:00 GMT-04:00 2011