121231203002993 has 2 divisors, whose sum is σ = 121231203002994. Its totient is φ = 121231203002992.

The previous prime is 121231203002957. The next prime is 121231203003083. The reversal of 121231203002993 is 399200302132121.

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., 117942032652544 + 3289170350449 = 10860112^2 + 1813607^2 .

It is a cyclic number.

It is not a de Polignac number, because 121231203002993 - 2⁶ = 121231203002929 is a prime.

It is not a weakly prime, because it can be changed into another prime (121231233002993) 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, 60615601501496 + 60615601501497.

It is an arithmetic number, because the mean of its divisors is an integer number (60615601501497).

Almost surely, 2^{121231203002993} is an apocalyptic number.

It is an amenable number.

121231203002993 is a deficient number, since it is larger than the sum of its proper divisors (1).

121231203002993 is an equidigital number, since it uses as much as digits as its factorization.

121231203002993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 38.

The spelling of 121231203002993 in words is "one hundred twenty-one trillion, two hundred thirty-one billion, two hundred three million, two thousand, nine hundred ninety-three".