The 400 mΩ ESR at 100 kHz tells you the ripple current heating budget — at 25 °C ambient, the part can handle roughly 1.3 A ripple before self-heating becomes a concern, but the real limit is the 2000-hour endurance at 125 °C. That 125 °C rating is the full military temperature range, so it will sit comfortably in an avionics power rail or a downhole sensor module.
Package and rework — 2924 body under the hot air
The 2924 (7361 Metric) case measures 7.30 mm x 6.10 mm with a seated height of 3.75 mm. It is a molded body with no exposed anode tab on the top — orientation is marked by a polarity stripe on the top face. Under a hot-air station, the body heats evenly; the main risk is lifting the pad if you overheat the cathode termination. Pre-bake at 125 °C for 24 hours if the tape has been open more than 48 hours — tantalum caps can crack from moisture popcorning during reflow.