121022012100193 has 2 divisors, whose sum is σ = 121022012100194. Its totient is φ = 121022012100192.

The previous prime is 121022012100181. The next prime is 121022012100239. The reversal of 121022012100193 is 391001210220121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91979742628449 + 29042269471744 = 9590607^2 + 5389088^2 .

It is a cyclic number.

It is not a de Polignac number, because 121022012100193 - 2¹⁷ = 121022011969121 is a prime.

It is not a weakly prime, because it can be changed into another prime (121022012800193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60511006050096 + 60511006050097.

It is an arithmetic number, because the mean of its divisors is an integer number (60511006050097).

Almost surely, 2^{121022012100193} is an apocalyptic number.

It is an amenable number.

121022012100193 is a deficient number, since it is larger than the sum of its proper divisors (1).

121022012100193 is an equidigital number, since it uses as much as digits as its factorization.

121022012100193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 121022012100193 in words is "one hundred twenty-one trillion, twenty-two billion, twelve million, one hundred thousand, one hundred ninety-three".