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212121010100112 = 24337277431182331
BaseRepresentation
bin110000001110110001000101…
…011101001101011110010000
31000211001120101220120011201120
4300032301011131031132100
5210300342312041200422
62031051014034002240
762452144242240651
oct6016610535153620
91024046356504646
10212121010100112
1161652019244453
121b95a581116380
139148c051cb2a9
143a549d6b65528
15197cb4a98e45c
hexc0ec4574d790

212121010100112 has 80 divisors (see below), whose sum is σ = 564821259250752. Its totient is φ = 68547642094080.

The previous prime is 212121010100047. The next prime is 212121010100179. The reversal of 212121010100112 is 211001010121212.

It is a happy number.

It is a super-3 number, since 3×2121210101001123 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212121010100091 and 212121010100100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215099214 + ... + 216083117.

Almost surely, 2212121010100112 is an apocalyptic number.

It is an amenable number.

212121010100112 is an abundant number, since it is smaller than the sum of its proper divisors (352700249150640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212121010100112 is a wasteful number, since it uses less digits than its factorization.

212121010100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431182656 (or 431182650 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212121010100112 its reverse (211001010121212), we get a palindrome (423122020221324).

The spelling of 212121010100112 in words is "two hundred twelve trillion, one hundred twenty-one billion, ten million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 277 296 444 554 592 831 888 1108 1662 1776 2216 3324 4432 6648 10249 13296 20498 30747 40996 61494 81992 122988 163984 245976 491952 431182331 862364662 1293546993 1724729324 2587093986 3449458648 5174187972 6898917296 10348375944 15953746247 20696751888 31907492494 47861238741 63814984988 95722477482 119437505687 127629969976 191444954964 238875011374 255259939952 358312517061 382889909928 477750022748 716625034122 765779819856 955500045496 1433250068244 1911000090992 2866500136488 4419187710419 5733000272976 8838375420838 13257563131257 17676750841676 26515126262514 35353501683352 53030252525028 70707003366704 106060505050056 212121010100112