Somatic mutations in human have a heterogeneous genomic distribution, with increased numbers of mutations in late-replication time (RT), heterochromatic domains of chromosomes. While this regional mutation rate density (RMD) landscape is known to vary between tissues and due to deficiencies in DNA repair, we asked whether it varies between individual tumors and what would be the mechanisms underlying such variation. Here, we identified 13 RMD signatures that describe mutation redistribution across megabase-scale domains in ~4200 tumors. Of those, 10 RMD signatures corresponded to groupings or subdivisions of cancerous tissues and cell types. We further identified 3 global RMD signatures of somatic mutation landscapes that transcended cancer types. One is a known general loss of RMD variation, previously associated with DNA mismatch repair failures, and was here additionally linked with homologous recombination (HR) repair deficiencies. Next, we identified a global RMD signature affecting facultative heterochromatin domains. This RMD signature strongly reflects regional variation in DNA replication time and in heterochromatin across state tumor samples, and is associated with altered cell cycle control. Finally we identified a global RMD signature associated with TP53 loss-of-function, mainly affecting the very late RT regions. The local mutation rates in 26%-75% of cancer genes are notably changed in the tumors affected by these three global RMD signatures of mutation redistribution. Our study highlights how the plasticity of chromatin states and the RT program in cancers bears upon the regional somatic mutation rate landscape, and the downstream consequences on mutation supply to disease genes.