84101122110193 has 2 divisors, whose sum is σ = 84101122110194. Its totient is φ = 84101122110192.

The previous prime is 84101122110151. The next prime is 84101122110223. The reversal of 84101122110193 is 39101122110148.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84024942246144 + 76179864049 = 9166512^2 + 276007^2 .

It is a cyclic number.

It is not a de Polignac number, because 84101122110193 - 2⁹ = 84101122109681 is a prime.

It is not a weakly prime, because it can be changed into another prime (84101122110793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42050561055096 + 42050561055097.

It is an arithmetic number, because the mean of its divisors is an integer number (42050561055097).

Almost surely, 2^{84101122110193} is an apocalyptic number.

It is an amenable number.

84101122110193 is a deficient number, since it is larger than the sum of its proper divisors (1).

84101122110193 is an equidigital number, since it uses as much as digits as its factorization.

84101122110193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 34.

The spelling of 84101122110193 in words is "eighty-four trillion, one hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred ninety-three".