Secretary-General of the United Nations at the first opening.
It might be unconstitutional. Like his being head of the UN security council a year or so ago
What? It's definitely not unconstitutional - not any more unconstitutional than an American at the head of the World Bank. Americans have routinely headed international organizations, and numerous Americans work for them (more Americans work for the UN than citizens of any other country). But it is not likely - US won't normally get it, being a great power.