Google Docs, safe?

How safe do you find Google Docs, citizens of Googleplex?

I'm asking this because I've been doing quite a bit of writing and I've found myself able to do more of it with any free time at work as it comes and I have access to Google Docs. Can I trust to have my short stories and novels on here without fear of someone else getting access and stealing them? Or am I just being paranoid? I've used Google services for as long as I can remember, never had a problem but these short stories and novels are near & dear to me, like my children! I'm looking to have them published in a year or two and the thought of someone stealing my work is driving me batty. Thanks!