There are a few apps that support org-mode. For Android there is http://www.orgzly.com/ For iOS there is https://beorgapp.com/ I think there are a few more but those are the ones I see people talk about.
My problem is with the corporate firewall that inhibits me from using dropbox/box/etc. to sync notes between my mobile phone and the work laptop. Just yesterday I tried to connect through Github (which I can access, for the time being), and running a "Working Copy" (an iphone app) webdav server that shares the github repo clone in the phone with Beorg.
It was completely unusable. Does anyone have an alternate suggestion, perchance?
Setup a hook that exports to HTML and send the file to your mail? Not an elegant solution, but gets the job done.
I don't think orgzly will handle some of the custom org packages the author is talking about so unless you can get really good at org searches it'll be a mess on the phone. For example every file will blitz the sidebar.