182121120193 has 2 divisors, whose sum is σ = 182121120194. Its totient is φ = 182121120192.

The previous prime is 182121120191. The next prime is 182121120281. The reversal of 182121120193 is 391021121281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164076033969 + 18045086224 = 405063^2 + 134332^2 .

It is a cyclic number.

It is not a de Polignac number, because 182121120193 - 2¹ = 182121120191 is a prime.

Together with 182121120191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (182121120191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91060560096 + 91060560097.

It is an arithmetic number, because the mean of its divisors is an integer number (91060560097).

Almost surely, 2^182121120193 is an apocalyptic number.

It is an amenable number.

182121120193 is a deficient number, since it is larger than the sum of its proper divisors (1).

182121120193 is an equidigital number, since it uses as much as digits as its factorization.

182121120193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 182121120193 in words is "one hundred eighty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred ninety-three".