Convert to string and use len(),is the most commen way.
>>> n = 123
If your user input is returning a string like raw_input() in python 2.x and input() in python 3.x you can use len().
Then convert to integer if needed.
You can make function that takes integer as argument,and returning the lenght out.
A couple of example.
>>> u = raw_input('Enter a number')
Enter a number
>>> u = raw_input('Enter a number: ')
Enter a number: 123
>>> int(u) + 123
>>> def lenght(n):
Without converting to string.
digits = int(math.log10(12345))+1
print digits #5
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