Additionally, how can I format it as a string padded with zeros?
                +19 
                A: 
                
                
              
            To generate the number call rand with the result of the expression "10 to the power of 10"
rand(10 ** 10)
To pad the number with zeros you can use the string format operator
'%010d' % rand(10 ** 10)
or the rjust method of string
rand(10 ** 10).to_s.rjust(10,'0')
                  quackingduck
                   2008-08-29 16:13:42
                
              
                +1 
                A: 
                
                
              
            Here is an expression that will use one fewer method call than quackingduck's example.
'%011d' % rand(1e10)
One caveat, 1e10 is a Float, and Kernel#rand ends up calling to_i on it, so for some higher values you might have some inconsistencies. To be more precise with a literal, you could also do:
'%011d' % rand(10_000_000_000) # Note that underscores are ignored in integer literals
                  nertzy
                   2008-10-06 18:52:13