Integral cross sections and product recoil velocity distributions were measured for the reaction of HOD+ with NO2, in which the HOD+ reactant was prepared in its ground state and with mode-selective excitation in the 001 (OH stretch), 100 (OD stretch), and 010 (bend) modes. In addition, we measured the 300 K thermal kinetics in a selected ion flow tube reactor and report product branching ratios different from previous measurements. Reaction is found to occur on both the singlet and triplet surfaces with near-unit efficiency. At 300 K, the product branching indicates that triplet (->) singlet transitions occur in about 60% of triplet-coupled collisions, which we attribute to long interaction times mediated by complexes on the triplet surface. Because the collision times are much shorter in the beam experiments, the product distributions show no signs of such transitions. The dominant product on the singlet surface is charge transfer. Reactions on the triplet surface lead to NO+, NO2H+, and NO2D+. There is also charge transfer, producing NO2+ (a(3)B(2)); however, this triplet NO2+ mostly predissociates. The NO2H+/NO2D+ cross sections peak at low collision energies and are insignificant above similar to 1 eV due to OH/OD loss from the nascent product ions. The effects of HOD+ vibration are mode-specific. Vibration inhibits charge transfer, with the largest effect from the bend. The NO2H+/NO2D+ channels are also vibrationally inhibited, and the mode dependence reveals how energy in different reactant modes couples to the internal energy of the product ions.