Java, 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (8381 ones)
interface A{static void main(String[]a){for(intA i=0;i++<83;i:new A[81])System.out.print(1);}}
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I've underlined the part that is actually "variable" here; everything else is absolutely necessary for a working Java program.
Presumably this is shorter than mucking around with Java's BigInteger.