JavaScript (Node.js), 21 bytes
-1 thanks to @l4m2
The only (decimal) digit used in the source is 0.
_=>-~(-~0n>>~0xFFFFn)
This computes \$1+2^{1+65535}\$
With all the BigInt suffixes for BigIntsand extra parentheses due to a different operator precedence, a direct port of ovs' answer would be 25 bytes:
_=>-~(2n**2n**2n**2n**2n)