12121231033001 has 2 divisors, whose sum is σ = 12121231033002. Its totient is φ = 12121231033000.

The previous prime is 12121231032997. The next prime is 12121231033027. The reversal of 12121231033001 is 10033013212121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11835326943001 + 285904090000 = 3440251^2 + 534700^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121231033001 - 2² = 12121231032997 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121231033031) 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, 6060615516500 + 6060615516501.

It is an arithmetic number, because the mean of its divisors is an integer number (6060615516501).

Almost surely, 2^{12121231033001} is an apocalyptic number.

It is an amenable number.

12121231033001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121231033001 is an equidigital number, since it uses as much as digits as its factorization.

12121231033001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12121231033001 its reverse (10033013212121), we get a palindrome (22154244245122).

The spelling of 12121231033001 in words is "twelve trillion, one hundred twenty-one billion, two hundred thirty-one million, thirty-three thousand, one".