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12101001210221 = 711418893431021
BaseRepresentation
bin1011000000010111101111…
…1000001110100101101101
31120211211210120200012021012
42300011323320032211231
53041230322302211341
641423042340315005
72356161043102160
oct260057370164555
946754716605235
1012101001210221
11394600778aa70
1214353089a2a65
1369a1727712c1
142db9979c3ad7
1515eb94eca0eb
hexb017be0e96d

12101001210221 has 32 divisors (see below), whose sum is σ = 15456710981376. Its totient is φ = 9198311616000.

The previous prime is 12101001210169. The next prime is 12101001210299. The reversal of 12101001210221 is 12201210010121.

It is a cyclic number.

It is not a de Polignac number, because 12101001210221 - 222 = 12100997015917 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12101001210196 and 12101001210205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101001210121) 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 31 ways as a sum of consecutive naturals, for example, 27859691 + ... + 28290711.

It is an arithmetic number, because the mean of its divisors is an integer number (483022218168).

Almost surely, 212101001210221 is an apocalyptic number.

12101001210221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101001210221 is a deficient number, since it is larger than the sum of its proper divisors (3355709771155).

12101001210221 is a wasteful number, since it uses less digits than its factorization.

12101001210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439973.

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

Adding to 12101001210221 its reverse (12201210010121), we get a palindrome (24302211220342).

The spelling of 12101001210221 in words is "twelve trillion, one hundred one billion, one million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 11 41 77 287 451 3157 8893 62251 97823 364613 431021 684761 2552291 3017147 4010743 4741231 17671861 28075201 33188617 123703027 194390471 1360733297 3833069753 26831488271 42163767283 157155859873 295146370981 1100091019111 1728714458603 12101001210221