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The MAGIC telescopes observed S2 0109+22 in 2015 July during its flaringactivity in high energy gamma rays observed by Fermi-LAT. We analyse the MAGICdata to characterise the very high energy (VHE) gamma-ray emission of S20109+22, which belongs to the subclass of intermediate synchrotron peak (ISP)BL Lac objects. We study the multi-frequency emission in order to investigatethe source classification. Finally, we compare the source long-term behaviourto other VHE gamma-ray emitting (TeV) blazars. We performed a temporal andspectral analysis of the data centred around the MAGIC interval of observation(MJD 57225-57231). Long-term radio and optical data have also been investigatedusing the discrete correlation function. The redshift of the source isestimated through optical host-galaxy imaging and also using the amount of VHEgamma-ray absorption. The quasi-simultaneous multi-frequency spectral energydistribution (SED) is modelled with the conventional one-zone synchrotronself-Compton (SSC) model. MAGIC observations resulted in the detection of thesource at a significance level of $5.3\,\sigma$. The VHE gamma-ray emission ofS2 0109+22 is variable on a daily time scale. VHE gamma-ray luminosity of thesource is lower than the average of TeV BL Lacs. The optical polarization, andlong-term optical/radio behaviour of the source are different from the generalpopulation of TeV blazars. All these findings agree with the classification ofthe source as an ISP BL Lac object. We estimate the source redshift as $z =0.36 \pm 0.07$. The SSC parameters describing the SED are rather typical forblazars.

The broad-band properties of the intermediate synchrotron peaked BL Lac S2 0109+22 from radio to VHE gamma rays