SAP Scope

Working in SAP is much different than working in other environments. But the important thing is that you should be good at logic. By logic, I not only mean domain knowledge but also basic C and C++ constructs. I work offshore for an American company as ABAP consultant. It is a good experience. People value SAP folks more than others (at least in India).
If you are more interested in (or good at) Java or Dot-net or Mainframe, you may find SAP a bit boring. There is nothing much to programme in SAP. A couple of my colleagues, who are good at writing code, find SAP less challenging. But SAP is huge! By huge, I mean really vast.
You can start learning SAP by first learning ABAP. ABAP is an SAP-developed programming language which is relatively easy to learn. It doesn't matter how good are you in C or C++, to learn ABAP. A little logic will do.
Then, you can either work in ABAP itself as a programmer or a "TECHNICAL" consultant or you can option for another "FUNCTIONAL" module/modules.
There are many functional modules in the SAP of which you may go for:
1. HCM (Human Capital Management) or HR
2. Finance (You will need basic finance knowledge like Profit and Loss, Balance Sheet for this).
3. CRM (Customer Relationship Management).
4. Controlling and many more.
You can read about them at scn.SAP. After that, you will be a "TECHNO-FUNCTIONAL" consultant.