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201211100211121 = 711131635611228961
BaseRepresentation
bin101101110000000000011100…
…001001110010011110110001
3222101102121000112100022121021
4231300000130021302132301
5202333120313123223441
61551535034154055441
760245010431255230
oct5560003411623661
9871377015308537
10201211100211121
115912616a563340
121a69808641a581
138837182489b40
143798952466b17
15183de685113d1
hexb7001c2727b1

201211100211121 has 32 divisors (see below), whose sum is σ = 270159432673536. Its totient is φ = 144726262272000.

The previous prime is 201211100211083. The next prime is 201211100211127. The reversal of 201211100211121 is 121112001112102.

It is a cyclic number.

It is not a de Polignac number, because 201211100211121 - 27 = 201211100210993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201211100211095 and 201211100211104.

It is not an unprimeable number, because it can be changed into a prime (201211100211127) 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, 163110081 + ... + 164339041.

It is an arithmetic number, because the mean of its divisors is an integer number (8442482271048).

Almost surely, 2201211100211121 is an apocalyptic number.

It is an amenable number.

201211100211121 is a deficient number, since it is larger than the sum of its proper divisors (68948332462415).

201211100211121 is a wasteful number, since it uses less digits than its factorization.

201211100211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392553.

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

Adding to 201211100211121 its reverse (121112001112102), we get a palindrome (322323101323223).

The spelling of 201211100211121 in words is "two hundred one trillion, two hundred eleven billion, one hundred million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 163561 1144927 1228961 1799171 2126293 8602727 12594197 13518571 14884051 15976493 23389223 94629997 111835451 163724561 175741423 1230189961 201010090121 1407070630847 2211110991331 2613131171573 15477776939317 18291918201011 28744442887303 201211100211121