1012121200193 has 2 divisors, whose sum is σ = 1012121200194. Its totient is φ = 1012121200192.

The previous prime is 1012121200151. The next prime is 1012121200249. The reversal of 1012121200193 is 3910021212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006604870209 + 5516329984 = 1003297^2 + 74272^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012121200193 - 2¹⁰ = 1012121199169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1012121202193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506060600096 + 506060600097.

It is an arithmetic number, because the mean of its divisors is an integer number (506060600097).

Almost surely, 2^{1012121200193} is an apocalyptic number.

It is an amenable number.

1012121200193 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012121200193 is an equidigital number, since it uses as much as digits as its factorization.

1012121200193 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 23.

Adding to 1012121200193 its reverse (3910021212101), we get a palindrome (4922142412294).

The spelling of 1012121200193 in words is "one trillion, twelve billion, one hundred twenty-one million, two hundred thousand, one hundred ninety-three".