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201001022121011 = 72417910179715733
BaseRepresentation
bin101101101100111100110010…
…100001011110010000110011
3222100200111202211100121111012
4231230330302201132100303
5202321200043130333021
61551254332251341135
760223562464046300
oct5554746241362063
9870614684317435
10201001022121011
11590550669a0952
121a6634177517ab
13882041323b548
14378c703ad60a7
15183877040635b
hexb6cf3285e433

201001022121011 has 96 divisors (see below), whose sum is σ = 245276726849280. Its totient is φ = 164097093888000.

The previous prime is 201001022121007. The next prime is 201001022121013. The reversal of 201001022121011 is 110121220100102.

It is not a de Polignac number, because 201001022121011 - 22 = 201001022121007 is a prime.

It is a super-2 number, since 2×2010010221210112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201001022121013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12775751501 + ... + 12775767233.

It is an arithmetic number, because the mean of its divisors is an integer number (2554965904680).

Almost surely, 2201001022121011 is an apocalyptic number.

201001022121011 is a deficient number, since it is larger than the sum of its proper divisors (44275704728269).

201001022121011 is a wasteful number, since it uses less digits than its factorization.

201001022121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16765 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201001022121011 its reverse (110121220100102), we get a palindrome (311122242221113).

The spelling of 201001022121011 in words is "two hundred one trillion, one billion, twenty-two million, one hundred twenty-one thousand, eleven".

Divisors: 1 7 41 49 79 101 287 553 707 797 2009 3239 3871 4141 4949 5579 7979 15733 22673 28987 32677 39053 55853 62963 80497 110131 158711 202909 228739 327139 390971 440741 563479 645053 770917 1242907 1589033 1601173 2289973 2581483 3085187 3300377 3944353 4515371 6359263 8700349 11123231 12539201 16029811 18070381 23102639 31607597 44514841 50959187 60902443 65150353 77862617 87774407 125533607 126492667 161718473 260729783 311603887 356714309 456052471 514107241 614420849 878735249 990596879 1266459301 1825108481 2497000163 3192367297 3598750687 5146877887 6151146743 6934178153 8865215107 12775759367 25191254809 36028145209 40614472039 48539247071 51924831341 62056505749 100050284779 252197016463 284301304273 363473819387 700351993453 1990109129911 2544316735709 4102061675939 4902463954171 28714431731573 201001022121011