The Constitution only addresses the requirements for President.
Please see response 48, then get back to us.
The last sentence of the 12th Amendment (which, of course, revises the procedure for election of POTUS and VPOTUS) is: “But no person constitutionally ineligible to the office of President shall be eligible to that of Vice-President of the United States.” This carries the qualifications from Article II, Section 1 forward to apply to the VPOTUS as well.