12111100211201 has 2 divisors, whose sum is σ = 12111100211202. Its totient is φ = 12111100211200.

The previous prime is 12111100211183. The next prime is 12111100211213. The reversal of 12111100211201 is 10211200111121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11906633458801 + 204466752400 = 3450599^2 + 452180^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111100211201 - 2⁶ = 12111100211137 is a prime.

It is not a weakly prime, because it can be changed into another prime (12111100210201) 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, 6055550105600 + 6055550105601.

It is an arithmetic number, because the mean of its divisors is an integer number (6055550105601).

Almost surely, 2^{12111100211201} is an apocalyptic number.

It is an amenable number.

12111100211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111100211201 is an equidigital number, since it uses as much as digits as its factorization.

12111100211201 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 12111100211201 its reverse (10211200111121), we get a palindrome (22322300322322).

The spelling of 12111100211201 in words is "twelve trillion, one hundred eleven billion, one hundred million, two hundred eleven thousand, two hundred one".