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10010121220112 = 24132325743318803
BaseRepresentation
bin1001000110101010100110…
…1110000011000000010000
31022102221212120002111200112
42101222221232003000100
52303001212013020422
633142330341540452
72052131064321536
oct221525156030020
938387776074615
1010010121220112
11320a2a5513542
121158041414728
13577c47ca9070
142686c7408156
151255bd797ee2
hex91aa9b83010

10010121220112 has 160 divisors (see below), whose sum is σ = 21931111819008. Its totient is φ = 4391588855808.

The previous prime is 10010121220079. The next prime is 10010121220117. The reversal of 10010121220112 is 21102212101001.

It is not an unprimeable number, because it can be changed into a prime (10010121220117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532358903 + ... + 532377705.

Almost surely, 210010121220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010121220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965555909504).

10010121220112 is an abundant number, since it is smaller than the sum of its proper divisors (11920990598896).

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

10010121220112 is a wasteful number, since it uses less digits than its factorization.

10010121220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19537 (or 19531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10010121220112 its reverse (21102212101001), we get a palindrome (31112333321113).

The spelling of 10010121220112 in words is "ten trillion, ten billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 257 299 368 433 514 598 866 1028 1196 1732 2056 2392 3341 3464 4112 4784 5629 5911 6682 6928 9959 11258 11822 13364 18803 19918 22516 23644 26728 37606 39836 45032 47288 53456 75212 76843 79672 90064 94576 111281 129467 150424 153686 159344 222562 244439 258934 300848 307372 432469 445124 488878 517868 614744 864938 890248 977756 1035736 1229488 1446653 1729876 1780496 1955512 2071472 2559463 2893306 3459752 3911024 4832371 5118926 5622097 5786612 6919504 8141699 9664742 10237852 11244194 11573224 16283398 19329484 20475704 22488388 23146448 32566796 33273019 38658968 40951408 44976776 62820823 65133592 66546038 77317936 89953552 105842087 111144533 125641646 130267184 133092076 187259077 211684174 222289066 251283292 266184152 374518154 423368348 444578132 502566584 532368304 749036308 846736696 889156264 1005133168 1444878929 1498072616 1693473392 1778312528 2092416643 2434368001 2889757858 2996145232 4184833286 4868736002 5779515716 8369666572 9737472004 11559031432 16739333144 19474944008 23118062864 27201416359 33478666288 38949888016 48125582789 54402832718 96251165578 108805665436 192502331156 217611330872 385004662312 435222661744 625632576257 770009324624 1251265152514 2502530305028 5005060610056 10010121220112