12102112201121 has 2 divisors, whose sum is σ = 12102112201122. Its totient is φ = 12102112201120.

The previous prime is 12102112201097. The next prime is 12102112201139. The reversal of 12102112201121 is 12110221120121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11688631050496 + 413481150625 = 3418864^2 + 643025^2 .

It is a cyclic number.

It is not a de Polignac number, because 12102112201121 - 2²² = 12102108006817 is a prime.

It is a super-2 number, since 2×12102112201121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12102112201121.

It is not a weakly prime, because it can be changed into another prime (12102112200121) 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 as a sum of consecutive naturals, namely, 6051056100560 + 6051056100561.

It is an arithmetic number, because the mean of its divisors is an integer number (6051056100561).

Almost surely, 2^{12102112201121} is an apocalyptic number.

It is an amenable number.

12102112201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102112201121 is an equidigital number, since it uses as much as digits as its factorization.

12102112201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12102112201121 its reverse (12110221120121), we get a palindrome (24212333321242).

The spelling of 12102112201121 in words is "twelve trillion, one hundred two billion, one hundred twelve million, two hundred one thousand, one hundred twenty-one".