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21012120201009 = 37194337317531873
BaseRepresentation
bin1001100011100010000111…
…11101011110011100110001
32202101201221210011221021110
410301301003331132130301
510223230310232413014
6112404500150343533
74266034632543630
oct461610375363461
982351853157243
1021012120201009
116771210083383
12243435865aba9
13b955855ab642
14528dc6251517
152668906b2d59
hex131c43f5e731

21012120201009 has 128 divisors (see below), whose sum is σ = 34618115952640. Its totient is φ = 11068427575296.

The previous prime is 21012120201001. The next prime is 21012120201011. The reversal of 21012120201009 is 90010202121012.

It is not a de Polignac number, because 21012120201009 - 23 = 21012120201001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21012120201001) 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, 11218429497 + ... + 11218431369.

It is an arithmetic number, because the mean of its divisors is an integer number (270454030880).

Almost surely, 221012120201009 is an apocalyptic number.

It is an amenable number.

21012120201009 is a deficient number, since it is larger than the sum of its proper divisors (13605995751631).

21012120201009 is a wasteful number, since it uses less digits than its factorization.

21012120201009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071.

The product of its (nonzero) digits is 144, while the sum is 21.

It can be divided in two parts, 21012 and 120201009, that added together give a palindrome (120222021).

The spelling of 21012120201009 in words is "twenty-one trillion, twelve billion, one hundred twenty million, two hundred one thousand, nine".

Divisors: 1 3 7 19 21 43 57 129 133 301 373 399 817 903 1119 1753 1873 2451 2611 5259 5619 5719 7087 7833 12271 13111 16039 17157 21261 33307 35587 36813 39333 48117 49609 75379 80539 99921 106761 112273 148827 226137 233149 241617 249109 304741 336819 527653 563773 653869 698629 699447 747327 914223 1432201 1530241 1582959 1691319 1961607 2095887 2133187 3283369 4296603 4577083 4590723 4890403 6399561 9850107 10025407 10711687 12423511 13273951 13731249 14671209 22983583 28116367 30041047 30076221 32135061 37270533 39821853 62384011 68950749 84349101 86964577 90123141 92917657 141184867 187152033 196814569 210287329 260893731 278752971 423554601 436688077 534210973 570779893 590443707 630861987 988294069 1224696637 1310064231 1602632919 1712339679 2682512473 2964882207 3674089911 3739476811 3995459251 8047537419 8572876459 11218430433 11986377753 18777587311 23269236103 25718629377 52661955391 56332761933 69807708309 157985866173 162884652721 368633687737 488653958163 1000577152429 1105901063211 3001731457287 7004040067003 21012120201009