121121021009993 has 2 divisors, whose sum is σ = 121121021009994. Its totient is φ = 121121021009992.

The previous prime is 121121021009977. The next prime is 121121021010001. The reversal of 121121021009993 is 399900120121121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111232184808889 + 9888836201104 = 10546667^2 + 3144652^2 .

It is a cyclic number.

It is not a de Polignac number, because 121121021009993 - 2⁴ = 121121021009977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 121121021009993.

It is not a weakly prime, because it can be changed into another prime (121121021509993) 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, 60560510504996 + 60560510504997.

It is an arithmetic number, because the mean of its divisors is an integer number (60560510504997).

Almost surely, 2^{121121021009993} is an apocalyptic number.

It is an amenable number.

121121021009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

121121021009993 is an equidigital number, since it uses as much as digits as its factorization.

121121021009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 41.

The spelling of 121121021009993 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twenty-one million, nine thousand, nine hundred ninety-three".