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12212220010101 = 33137791093371223
BaseRepresentation
bin1011000110110110000100…
…0010010001111001110101
31121020110212121110121202120
42301231201002101321311
53100041111310310401
641550114425230153
72400206124231066
oct261554102217165
947213777417676
1012212220010101
11398919a907501
121452987932359
136a77b8615767
143031089cc56d
15162a040c3836
hexb1b61091e75

12212220010101 has 128 divisors (see below), whose sum is σ = 17708197478400. Its totient is φ = 7471066337280.

The previous prime is 12212220010091. The next prime is 12212220010139. The reversal of 12212220010101 is 10101002221221.

It is not a de Polignac number, because 12212220010101 - 219 = 12212219485813 is a prime.

It is a super-2 number, since 2×122122200101012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212220010141) 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, 9985461376 + ... + 9985462598.

It is an arithmetic number, because the mean of its divisors is an integer number (138345292800).

Almost surely, 212212220010101 is an apocalyptic number.

It is an amenable number.

12212220010101 is a deficient number, since it is larger than the sum of its proper divisors (5495977468299).

12212220010101 is a wasteful number, since it uses less digits than its factorization.

12212220010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12212220010101 its reverse (10101002221221), we get a palindrome (22313222231322).

The spelling of 12212220010101 in words is "twelve trillion, two hundred twelve billion, two hundred twenty million, ten thousand, one hundred one".

Divisors: 1 3 31 37 79 93 109 111 237 327 337 1011 1147 1223 2449 2923 3379 3441 3669 4033 7347 8611 8769 10137 10447 12099 12469 25833 26623 31341 36733 37407 37913 45251 79869 90613 96617 110199 113739 125023 133307 135753 266941 271839 289851 318607 375069 386539 399921 412151 800823 825313 955821 985051 1138723 1159617 1236453 1359121 1402781 2475939 2901907 2955153 2995127 3416169 3574829 4077363 4132517 4208343 4932359 8705721 8985381 9876817 10531253 10724487 12397551 12776681 14797077 15249587 29630451 30536581 31593759 32559929 38330043 42132751 44924459 45748761 89959117 91609743 97679787 107370559 110819699 126398253 134773377 152903129 269877351 322111677 326468843 332459097 389656361 458709387 472737197 979406529 1009357799 1168969083 1204717373 1392658229 1418211591 1662204983 3028073397 3328487329 3549032261 3614152119 4177974687 4986614949 9985461987 10647096783 12079347191 36238041573 37346238563 51528354473 110020000091 112038715689 131314193657 154585063419 330060000273 393942580971 4070740003367 12212220010101