Theoretical Investigation on Solvents Effect in Molecular Structure (TD-DFT, MEP, HOMO-LUMO), Topological Analysis and Molecular Docking Studies of N-(5-((4-Ethylpiperazin-1-yl)Methyl)Pyridin-2-yl)-5-Fluoro-4-(4-Fluoro-1-Isopropyl-2-Methyl-1H-Benzo[d] Imidazol-6-yl) Pyrimidin-2-Amine

B3LYP/cc-pVDZ generated the best N-(5-((4-ethylpiperazin-1-yl)methyl)pyridin-2-yl)-5-fluoro-4-(4-fluoro-1-isopropyl-2-methyl-1H-benzo[d] imidazol-6-yl) pyrimidin-2-amine (TA) results. The NBO study shows that the LP (1) N16 to π*(C17-N19) has the highest stabilization energy at 53.86 kcal/mol. Electron localization and delocalization areas are confirmed by wavefunction studies. The Gaussian-16w software establishes thermodynamic properties for a titled compound which is confirmed by various solvents. The frontier molecular orbital studies we confirmed by gas phase have the highest bond gap value which is 4.02 eV. The titled compound nitrogen is the nucleophilic attack (blue color) and oxygen is the electrophilic attack (red color), which is confirmed by MEP study. In non-linear optical (NLO) study water solvent shows the highest dipole moment activity, due to the solvent’s interaction the gas phase dipole moment is lower. The docking study showed the greatest binding affinity score of −5.28 kcal/mol.