For context, that'd be about 1.25 years of current world GDP [1]. If we maintain a 3.6% growth rate for 100 years, the economy will be 34 times larger, so it'd take two weeks of the world's total economic output to capture all that carbon. (In the worst case scenario there'd be about twice as much carbon by then, so stretch that to a month. [2])
Of course we might not be able to smoothly convert the entire world GDP to carbon capture plants for a fortnight, and there'd be deleterious global warming effects in the meanwhile, but overall napkin math paints a pretty optimistic picture for geoengineering.
