While waiting for DirSync to finish for the first time at a client site, we received the following email (partially edited for confidentiality):
Hello <user>,
See Directory
Synchronization errors for more information about the errors listed in this
email message.
The Directory Synchronization batch run was
completed on Tuesday, 03 January 2012 23:54:02 GMT for tenant <client>, Inc..
The following errors occurred during synchronization:
Synchronization has been stopped. The company has
exceeded the number of objects that can be synchronized. Contact Technical
Support and ask for an increase in your company’s quota..
Tracking ID: cb441337-5739-4d70-9b2e-4f10d87598a0
_____________________________________________________
Directory Synchronization has a 20,000 object limit (or 10,000 for tenants created before Oct. 5, 2011); that may seem like a lot, but remember you do not get to control with the application synchronizes. DirSync will grab every user, contact and group. Luckily the way around this is simply to request a quota increase from the MSO support team. Keep this in mind during design sessions and it can save you a time-consuming hurdle during implementation.
More information on identifying and resolving the problem can be found here: http://support.microsoft.com/kb/2459803