All of your notes get synchronised automatically to Gmail (if you turn on the sync).
You can also set reminders which will be visible through ‘Google Now’. You can make text notes, checklists, voice notes (voice notes transcribed automatically into texts), or picture notes. Google Keep is a feature rich notepad app that is very easy to use. A note taking application from the same developer is definitely worth a try. Since, you are using a smartphone which runs an operating system made by Google.
This could have been the stock note taking app for Android