We present new and archival Australia Telescope Compact Array and Atacama Large Millimeter/submillimeter Array data of the Small Magellanic Cloud supernova remnant 1E 0102.2-7219 at 2100, 5500, 9000, and 108 000 MHz; as well as H I data provided by the Australian Square Kilometre Array Pathfinder. The remnant shows a ring-like morphology with a mean radius of 6.2 pc. The 5500 MHz image reveals a bridge-like structure, seen for the first time in a radio image. This structure is also visible in both optical and X-ray images. In the 9000 MHz image, we detect a central feature that has a flux density of 4.3 mJy but rule out a pulsar wind nebula origin, due to the lack of significant polarization towards the central feature with an upper limit of 4 per cent. The mean fractional polarization for 1E 0102.2-7219 is 7 +/- 1 and 12 +/- 2 per cent for 5500 and 9000 MHz, respectively. The spectral index for the entire remnant is -0.61 +/- 0.01. We estimate the line-of-sight magnetic field strength in the direction of 1E 0102.2-7219 of similar to 44 mu G with an equipartition field of 65 +/- 5 mu G. This latter model uses the minimum energy of the sum of the magnetic field and cosmic ray electrons only. We detect an H I cloud towards this remnant at the velocity range of similar to 160-180 km s(-1) and a cavity-like structure at the velocity of 163.7-167.6 km s(-1). We do not detect CO emission towards 1E 0102.2-7219.