Searching for your own name online is a good idea, for many reasons.
You can check to see what people are saying either to or about you, which lets you respond or take some other action. You can check for identity theft, or discover new people to follow (if they're talking about you, maybe they share your interests). And there are a hundred other reasons to do ego searches.
If you post a lot on Google+, as I do, your unique Google+ ID number can often surface more mentions than even your name.
(To get your number, click on "Profile" while logged in to Google+ and capture that loooooong number in the URL. Mine is: 113117251731252114390.)
Here's why your Google+ ID works great for ego searches:
* Any URL linking to anything you've posted or to your profile will contain this number, and therefore searching for the number will bring up links to you and your posts, even if they don't mention your name or spell your name right.
* Searching your Google+ ID on Twitter will bring up posts with links, even those that have been shortened!
* If you want to monitor Twitter links to your Google+ page in real-time, you can use an aggregator like Twitterfeed.com and add your Google+ ID. The moment someone links to your Google+ posts or profile, it will pop up on Twitterfeed.
* Searching your Google+ ID on Google Search, of course, works great. Whenever you do an ego search, just add your name and your ID separated by the "OR" operator.
* Searching your Google+ ID on Google Images search brings up pictures from your own posts, pictures you've been tagged in and other pictures that are somehow associated with you and your Google+ usage. Same goes for Google Videos search.
Searching your Google+ ID on Facebook will not bring up even un-shortened link to Google+, as links of any kind are not searchable on Facebook.
How else can you use Google+ user ID numbers?