102033120300193 has 2 divisors, whose sum is σ = 102033120300194. Its totient is φ = 102033120300192.

The previous prime is 102033120300191. The next prime is 102033120300233. The reversal of 102033120300193 is 391003021330201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95794999650064 + 6238120650129 = 9787492^2 + 2497623^2 .

It is a cyclic number.

It is not a de Polignac number, because 102033120300193 - 2¹ = 102033120300191 is a prime.

Together with 102033120300191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102033120300191) 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, 51016560150096 + 51016560150097.

It is an arithmetic number, because the mean of its divisors is an integer number (51016560150097).

Almost surely, 2^{102033120300193} is an apocalyptic number.

It is an amenable number.

102033120300193 is a deficient number, since it is larger than the sum of its proper divisors (1).

102033120300193 is an equidigital number, since it uses as much as digits as its factorization.

102033120300193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 102033120300193 its reverse (391003021330201), we get a palindrome (493036141630394).

The spelling of 102033120300193 in words is "one hundred two trillion, thirty-three billion, one hundred twenty million, three hundred thousand, one hundred ninety-three".