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201121022102211 = 32671272671198321
BaseRepresentation
bin101101101110101100100011…
…000101000100101011000011
3222101002222111211111021012100
4231232230203011010223003
5202330131323124232321
61551425415543401443
760235341263053011
oct5556544305045303
9871088454437170
10201121022102211
11590a0a45842932
121a682727453283
13882b82841a193
1437944490358b1
15183b9453a6326
hexb6eb23144ac3

201121022102211 has 48 divisors (see below), whose sum is σ = 297179840176128. Its totient is φ = 131033242771200.

The previous prime is 201121022102207. The next prime is 201121022102233. The reversal of 201121022102211 is 112201220121102.

201121022102211 is a `hidden beast` number, since 2 + 0 + 11 + 210 + 221 + 0 + 221 + 1 = 666.

It is not a de Polignac number, because 201121022102211 - 22 = 201121022102207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201121022102261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2045505931 + ... + 2045604251.

It is an arithmetic number, because the mean of its divisors is an integer number (6191246670336).

Almost surely, 2201121022102211 is an apocalyptic number.

201121022102211 is a deficient number, since it is larger than the sum of its proper divisors (96058818073917).

201121022102211 is a wasteful number, since it uses less digits than its factorization.

201121022102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125232 (or 125229 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201121022102211 its reverse (112201220121102), we get a palindrome (313322242223313).

The spelling of 201121022102211 in words is "two hundred one trillion, one hundred twenty-one billion, twenty-two million, one hundred two thousand, two hundred eleven".

Divisors: 1 3 9 67 127 201 381 603 1143 8509 25527 26711 76581 80133 98321 240399 294963 884889 1789637 3392297 5368911 6587507 10176891 12486767 16106733 19762521 30530673 37460301 59287563 112380903 227283899 681851697 836613389 2045555091 2509840167 2626252231 7529520501 7878756693 23636270079 175958899477 333534033337 527876698431 1000602100011 1583630095293 3001806300033 22346780233579 67040340700737 201121022102211