A short selection from the vast collection of administrative tools available for Exchange 2010:
Exchange Best Practices Analyzer: designed for administrators who want to determine the overall health of their Exchange servers and topology. One of the bests tools available and should be run regularly.
Calendar Checking Tool for Outlook (CalCheck): a program that checks Outlook Calendar and items for problems or for potential problems.
Exchange Client Network Bandwidth Calculator: helps to reduce the risks involved in Exchange Server network bandwidth planning, and to predict the network bandwidth requirements for a specific set of clients.
Exchange Remote Connectivity Analyzer (ExRCA): provides administrators with the ability to run connectivity diagnostics to validate external connectivity to Exchange.
Microsoft Outlook Configuration Analyzer Tool (OCAT): provides a quick and easy method to analyze Outlook profiles (and Office programs) for common configurations that cause problems.
Microsoft Exchange PST Capture: used to discover and import PST files into Exchange Server or Exchange Online.
Exchange Server Deployment Assistant (ExDeploy): generates custom instructions for moving your organization to Exchange 2010 on-premises or in the cloud.
MFCMAPI: uses Microsoft's published API's to provide access to MAPI stores through a GUI to facilitate investigation of Exchange and Outlook issues and to provide developers with a canonical sample for MAPI development.
Microsoft Active Directory Topology Diagrammer: reads an Active Directory configuration using LDAP, and automatically generates a Visio diagram of your Active Directory and/or Exchange Server topology. The diagrams can be changed manually in Visio if needed.
Microsoft Exchange 2010 Visio Stencil: contains a Microsoft Office Visio stencil with shapes for Microsoft Exchange Server 2010 and later.
Exchange 2010 Architecture Report: this script collects information about an Exchange 2010 organization. It generates an output HTML report to present all the collected data. With this report you can see very quickly what is working and what is not.
Below some good scripting resources:
Script Repository & TechNet Gallery: Download resources and applications for Windows 7, Windows Server 2008 R2, Windows Server 2008, SharePoint, System Center, Office, and other products. Find resources written in VB Script, PowerShell, SQL, JavaScript, or other script languages.
All-In-One Script Framework: All-In-One Script Framework is an automation script sample library for IT Professionals. The key value that All-In-One Script Framework is trying to deliver is Scenario-Focused Script Samples driven by IT Pros' real-world pains and needs.