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21012102100011 = 31117591579414297
BaseRepresentation
bin1001100011100010000101…
…11000011011010000101011
32202101201220112010022101010
410301301002320123100223
510223230241114200021
6112404454302355003
74266034322644221
oct461610270332053
982351815108333
1021012102100011
11677120093a880
12243435258ba63
13b955819116a9
14528dc3a9cb11
1526688dcd9976
hex131c42e1b42b

21012102100011 has 128 divisors (see below), whose sum is σ = 33161899115520. Its totient is φ = 11692158566400.

The previous prime is 21012102100009. The next prime is 21012102100027. The reversal of 21012102100011 is 11000120121012.

It is not a de Polignac number, because 21012102100011 - 21 = 21012102100009 is a prime.

It is a super-2 number, since 2×210121021000112 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21012102100011.

It is not an unprimeable number, because it can be changed into a prime (21012102100081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4889944815 + ... + 4889949111.

It is an arithmetic number, because the mean of its divisors is an integer number (259077336840).

Almost surely, 221012102100011 is an apocalyptic number.

21012102100011 is a deficient number, since it is larger than the sum of its proper divisors (12149797015509).

21012102100011 is a wasteful number, since it uses less digits than its factorization.

21012102100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21012102100011 its reverse (11000120121012), we get a palindrome (32012222221023).

The spelling of 21012102100011 in words is "twenty-one trillion, twelve billion, one hundred two million, one hundred thousand, eleven".

Divisors: 1 3 11 17 33 51 59 157 177 187 471 561 649 941 1003 1727 1947 2669 2823 3009 4297 5181 8007 9263 10351 11033 12891 15997 27789 29359 31053 33099 47267 47991 55519 73049 88077 101893 141801 147737 157471 166557 175967 219147 253523 305679 443211 472413 527901 610709 674629 760569 803539 943823 1625107 1732181 1832127 2023887 2410617 2511529 2788753 2831469 4043477 4309891 4875321 5196543 7420919 7534587 8366259 8716483 10382053 11468693 12130431 12929673 22262757 26149449 27626819 31146159 34406079 39803111 44478247 47408801 68739109 82880457 95881313 119409333 126155623 133434741 142226403 148180211 206217327 238565143 287643939 378466869 437834221 444540633 634825889 676652887 715695429 756130199 1313502663 1629982321 1904477667 2029958661 2268390597 2624216573 4055607431 4889946963 6983084779 7443181757 7872649719 10792040113 12166822293 20949254337 22329545271 32376120339 37454727451 44611681741 112364182353 118712441243 133835045223 356137323729 412002001961 636730366667 1236006005883 1910191100001 7004034033337 21012102100011