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12110021122101 = 3717268331214051
BaseRepresentation
bin1011000000111001010110…
…0000011101100000110101
31120212201002012020012020120
42300032111200131200311
53041402310401401401
641431133352322153
72356630420064310
oct260162540354065
946781065205216
1012110021122101
1139499162412a1
1214370056a3359
1369ac7c3a3876
142dc1b18dd977
15160021cdb836
hexb039581d835

12110021122101 has 64 divisors (see below), whose sum is σ = 19557229418496. Its totient is φ = 6506832384000.

The previous prime is 12110021122091. The next prime is 12110021122123. The reversal of 12110021122101 is 10122112001121.

It is a happy number.

It is not a de Polignac number, because 12110021122101 - 215 = 12110021089333 is a prime.

It is a super-2 number, since 2×121100211221012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110021122151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2989388526 + ... + 2989392576.

It is an arithmetic number, because the mean of its divisors is an integer number (305581709664).

Almost surely, 212110021122101 is an apocalyptic number.

It is an amenable number.

12110021122101 is a deficient number, since it is larger than the sum of its proper divisors (7447208296395).

12110021122101 is a wasteful number, since it uses less digits than its factorization.

12110021122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12110021122101 its reverse (10122112001121), we get a palindrome (22232133123222).

The spelling of 12110021122101 in words is "twelve trillion, one hundred ten billion, twenty-one million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 17 21 51 119 357 2683 3121 4051 8049 9363 12153 18781 21847 28357 45611 53057 56343 65541 68867 85071 136833 159171 206601 319277 371399 482069 957831 1114197 1446207 8373643 10868833 12643171 25120929 32606499 37929513 58615501 76081831 88502197 142351931 175846503 184770161 214933907 228245493 265506591 427055793 554310483 644801721 996463517 1293391127 1504537349 2989390551 3880173381 4513612047 33921627793 101764883379 237451394551 576667672481 712354183653 1730003017443 4036673707367 12110021122101