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212101122021111 = 3473353648115679
BaseRepresentation
bin110000001110011110100100…
…000010001101011011110111
31000210222200001212122002020000
4300032132210002031123313
5210300031044214133421
62031033524343242343
762450541346326231
oct6016364402153367
91023880055562200
10212101122021111
1161644642a09324
121b9567507493b3
139147085a7c1cb
143a53a6b695251
15197c384980226
hexc0e7a408d6f7

212101122021111 has 80 divisors (see below), whose sum is σ = 322162834076160. Its totient is φ = 139038343741440.

The previous prime is 212101122021097. The next prime is 212101122021119. The reversal of 212101122021111 is 111120221101212.

It is a happy number.

212101122021111 is a `hidden beast` number, since 2 + 1 + 210 + 11 + 220 + 211 + 11 = 666.

212101122021111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212101122021111 - 229 = 212100585150199 is a prime.

It is a super-2 number, since 2×2121011220211112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101122021119) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13527712170 + ... + 13527727848.

It is an arithmetic number, because the mean of its divisors is an integer number (4027035425952).

Almost surely, 2212101122021111 is an apocalyptic number.

212101122021111 is a deficient number, since it is larger than the sum of its proper divisors (110061712055049).

212101122021111 is a wasteful number, since it uses less digits than its factorization.

212101122021111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22598 (or 22589 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212101122021111 its reverse (111120221101212), we get a palindrome (323221343122323).

The spelling of 212101122021111 in words is "two hundred twelve trillion, one hundred one billion, one hundred twenty-two million, twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 27 73 81 219 353 657 1059 1971 3177 5913 6481 9531 15679 19443 25769 28593 47037 58329 77307 141111 174987 231921 423333 473113 524961 695763 1144567 1269999 1419339 2087289 2287793 3433701 4258017 5534687 6863379 10301103 12774051 16604061 20590137 30903309 38322153 49812183 61770411 92709927 101615599 149436549 167008889 185311233 304846797 404032151 448309647 501026667 914540391 1212096453 1503080001 2743621173 3636289359 4509240003 7417938727 8230863519 10908868077 13527720009 22253816181 32726604231 35870306447 66761448543 107610919341 200284345629 322832758023 600853036887 968498274069 2618532370631 2905494822207 7855597111893 23566791335679 70700374007037 212101122021111