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210101121212112 = 243313101370407607
BaseRepresentation
bin101111110001010111111010…
…101100100101111011010000
31000112220110201101021010112000
4233301113322230211323100
5210014244044012241422
62022503042253034000
762153206434051444
oct5761277254457320
91015813641233460
10210101121212112
1160a43426665749
121b693008485900
1390305b22c3850
1439c4d3ca74824
15194532b892cac
hexbf15fab25ed0

210101121212112 has 160 divisors (see below), whose sum is σ = 655888159637760. Its totient is φ = 64006434316800.

The previous prime is 210101121212111. The next prime is 210101121212119. The reversal of 210101121212112 is 211212121101012.

It is a happy number.

210101121212112 is a `hidden beast` number, since 210 + 10 + 1 + 121 + 212 + 112 = 666.

It is a super-2 number, since 2×2101011212121122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210101121212111) 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, 184636588 + ... + 185771019.

It is an arithmetic number, because the mean of its divisors is an integer number (4099300997736).

Almost surely, 2210101121212112 is an apocalyptic number.

It is an amenable number.

210101121212112 is an abundant number, since it is smaller than the sum of its proper divisors (445787038425648).

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

210101121212112 is a wasteful number, since it uses less digits than its factorization.

210101121212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370407738 (or 370407726 counting only the distinct ones).

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

Adding to 210101121212112 its reverse (211212121101012), we get a palindrome (421313242313124).

The spelling of 210101121212112 in words is "two hundred ten trillion, one hundred one billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 101 104 108 117 144 156 202 208 216 234 303 312 351 404 432 468 606 624 702 808 909 936 1212 1313 1404 1616 1818 1872 2424 2626 2727 2808 3636 3939 4848 5252 5454 5616 7272 7878 10504 10908 11817 14544 15756 21008 21816 23634 31512 35451 43632 47268 63024 70902 94536 141804 189072 283608 567216 370407607 740815214 1111222821 1481630428 2222445642 2963260856 3333668463 4444891284 4815298891 5926521712 6667336926 8889782568 9630597782 10001005389 13334673852 14445896673 17779565136 19261195564 20002010778 26669347704 28891793346 37411168307 38522391128 40004021556 43337690019 53338695408 57783586692 74822336614 77044782256 80008043112 86675380038 112233504921 115567173384 130013070057 149644673228 160016086224 173350760076 224467009842 231134346768 260026140114 299289346456 336700514763 346701520152 448934019684 486345187991 520052280228 598578692912 673401029526 693403040304 897868039368 972690375982 1010101544289 1040104560456 1346802059052 1459035563973 1795736078736 1945380751964 2020203088578 2080209120912 2693604118104 2918071127946 3890761503928 4040406177156 4377106691919 5387208236208 5836142255892 7781523007856 8080812354312 8754213383838 11672284511784 13131320075757 16161624708624 17508426767676 23344569023568 26262640151514 35016853535352 52525280303028 70033707070704 105050560606056 210101121212112