121100002000193 has 2 divisors, whose sum is σ = 121100002000194. Its totient is φ = 121100002000192.

The previous prime is 121100002000151. The next prime is 121100002000217. The reversal of 121100002000193 is 391000200001121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107878800606784 + 13221201393409 = 10386472^2 + 3636097^2 .

It is a cyclic number.

It is not a de Polignac number, because 121100002000193 - 2³⁰ = 121098928258369 is a prime.

It is not a weakly prime, because it can be changed into another prime (121100002000793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60550001000096 + 60550001000097.

It is an arithmetic number, because the mean of its divisors is an integer number (60550001000097).

Almost surely, 2^{121100002000193} is an apocalyptic number.

It is an amenable number.

121100002000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

121100002000193 is an equidigital number, since it uses as much as digits as its factorization.

121100002000193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 121100002000193 in words is "one hundred twenty-one trillion, one hundred billion, two million, one hundred ninety-three", and thus it is an aban number.