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201222002102121 = 337111310397165757
BaseRepresentation
bin101101110000001010100101…
…111101001100111101101001
3222101110122011022011202121000
4231300022211331030331221
5202333310130014231441
61551544040035305213
760245544536643060
oct5560124575147551
9871418138152530
10201222002102121
115912a854381410
121a69a20944b209
1388381cbc83610
1437992a82b91d7
15183e3a56712b6
hexb702a5f4cf69

201222002102121 has 128 divisors (see below), whose sum is σ = 400640396083200. Its totient is φ = 96397189274880.

The previous prime is 201222002102113. The next prime is 201222002102179. The reversal of 201222002102121 is 121201200222102.

It is a happy number.

201222002102121 is a `hidden beast` number, since 20 + 1 + 2 + 220 + 0 + 210 + 212 + 1 = 666.

It is not a de Polignac number, because 201222002102121 - 23 = 201222002102113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201222002102094 and 201222002102103.

It is not an unprimeable number, because it can be changed into a prime (201222002102221) 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, 24498175 + ... + 31663931.

It is an arithmetic number, because the mean of its divisors is an integer number (3130003094400).

Almost surely, 2201222002102121 is an apocalyptic number.

201222002102121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201222002102121 is a deficient number, since it is larger than the sum of its proper divisors (199418393981079).

201222002102121 is a wasteful number, since it uses less digits than its factorization.

201222002102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166836 (or 7166830 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201222002102121 its reverse (121201200222102), we get a palindrome (322423202324223).

The spelling of 201222002102121 in words is "two hundred one trillion, two hundred twenty-two billion, two million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 1001 1039 1287 2079 2457 3003 3117 3861 7273 9009 9351 11429 13507 21819 27027 28053 34287 40521 65457 80003 94549 102861 121563 148577 196371 240009 283647 308583 364689 445731 720027 850941 1040039 1337193 2160081 2552823 3120117 4011579 7165757 9360351 21497271 28081053 50160299 64491813 78823327 93154841 150480897 193475439 236469981 279464523 451442691 551763289 652083887 709409943 838393569 1024703251 1354328073 1655289867 1956251661 2128229829 2515180707 3074109753 4965869601 5868754983 7172922757 7445221523 9222329259 14897608803 17606264949 21518768271 22335664569 27666987777 52116550661 64556304813 67006993707 81897436753 96787879799 156349651983 193668914439 201020981121 245692310259 290363639397 469048955949 573282057271 677515158593 737076930777 871090918191 1064666677789 1407146867847 1719846171813 2032545475779 2211230792331 2613272754573 3194000033367 5159538515439 6097636427337 7452666744523 9582000100101 15478615546317 18292909282011 22358000233569 28746000300303 67074000700707 201222002102121