It's called "The Cloud".
On my lap I have a Linux laptop, a couple Google Sheets open, an open Word document (in a browser window) which I was reading a moment ago from my Android tablet. The spreadsheet is also open on the big screen machine upstairs, from where I was videoconferencing before that, and on my wife's laptop (she's working from the kitchen). A couple terminal windows are connected to different servers, one upstairs (actually, a VM running on it), one a beefy GCE instance with lots of number crunching power and the Mac upstairs (the big screen machine), updating ports. If I want to leave the house without a backpack, I can take the tiny Acer "Cloudbook" and summon pretty much all that's on this laptop from there through a VPN and a bastion host.
I can get to my e-mail from anywhere. Same for my documents (Google and Office 365). I can edit code with the tablet (can, but really, no) or any laptop. Where the computing takes place is largely irrelevant - it's taking place in multiple machines, on multiple networks. My phone is just one point where I can get to my stuff.