12102111011201 has 2 divisors, whose sum is σ = 12102111011202. Its totient is φ = 12102111011200.

The previous prime is 12102111011197. The next prime is 12102111011213. The reversal of 12102111011201 is 10211011120121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10126396840000 + 1975714171201 = 3182200^2 + 1405601^2 .

It is a cyclic number.

It is not a de Polignac number, because 12102111011201 - 2² = 12102111011197 is a prime.

It is a super-2 number, since 2×12102111011201² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12102111017201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051055505600 + 6051055505601.

It is an arithmetic number, because the mean of its divisors is an integer number (6051055505601).

Almost surely, 2^{12102111011201} is an apocalyptic number.

It is an amenable number.

12102111011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102111011201 is an equidigital number, since it uses as much as digits as its factorization.

12102111011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12102111011201 its reverse (10211011120121), we get a palindrome (22313122131322).

The spelling of 12102111011201 in words is "twelve trillion, one hundred two billion, one hundred eleven million, eleven thousand, two hundred one".