The links you posted talk about other universes, so it in fact is talking about more information than our universe could ever have by definition. When I say "all information", I specifically am limiting it to information in this universe.
The video links are interesting, but you should be careful assuming that it's talking about the same thing that string theory's 10 (11? 12? They keep needing more) dimensions are talking about. Those dimensions are
compacted, which is a fancy way of saying microscopic essentially. They aren't the same thing as the other worlds interpretation of quantum mechanics.
When talking about dimensions in general, there isn't such thing as
the first, fourth, or tenth dimension. Dimension simply means something you can measure with a scalar (ie: number). For instance, when building the physics for DB3 I had 10 dimensions: position (x, y), velocity (x', y'), acceleration (x', y'), angle (theta), angular velocity (omega), angular acceleration (alpha), epoch start time(t0), and epoch end time(t1). For string theory, when someone says 10 dimensions they almost certainly specifically mean 10 spatial dimensions, meaning there are 10 different directions you can move in which are independent of one another.