12100333120361 has 2 divisors, whose sum is σ = 12100333120362. Its totient is φ = 12100333120360.

The previous prime is 12100333120297. The next prime is 12100333120367. The reversal of 12100333120361 is 16302133300121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7345617678400 + 4754715441961 = 2710280^2 + 2180531^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100333120361 - 2⁶ = 12100333120297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12100333120361.

It is not a weakly prime, because it can be changed into another prime (12100333120367) 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, 6050166560180 + 6050166560181.

It is an arithmetic number, because the mean of its divisors is an integer number (6050166560181).

Almost surely, 2^{12100333120361} is an apocalyptic number.

It is an amenable number.

12100333120361 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100333120361 is an equidigital number, since it uses as much as digits as its factorization.

12100333120361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 12100333120361 its reverse (16302133300121), we get a palindrome (28402466420482).

The spelling of 12100333120361 in words is "twelve trillion, one hundred billion, three hundred thirty-three million, one hundred twenty thousand, three hundred sixty-one".