12201011113829 has 2 divisors, whose sum is σ = 12201011113830. Its totient is φ = 12201011113828.

The previous prime is 12201011113813. The next prime is 12201011113859. The reversal of 12201011113829 is 92831111010221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6253275429025 + 5947735684804 = 2500655^2 + 2438798^2 .

It is an emirp because it is prime and its reverse (92831111010221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12201011113829 - 2⁴ = 12201011113813 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12201011113795 and 12201011113804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201011113859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100505556914 + 6100505556915.

It is an arithmetic number, because the mean of its divisors is an integer number (6100505556915).

Almost surely, 2^{12201011113829} is an apocalyptic number.

It is an amenable number.

12201011113829 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201011113829 is an equidigital number, since it uses as much as digits as its factorization.

12201011113829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 32.

The spelling of 12201011113829 in words is "twelve trillion, two hundred one billion, eleven million, one hundred thirteen thousand, eight hundred twenty-nine".