102733712441 has 2 divisors, whose sum is σ = 102733712442. Its totient is φ = 102733712440.

The previous prime is 102733712357. The next prime is 102733712453. The reversal of 102733712441 is 144217337201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74027526400 + 28706186041 = 272080^2 + 169429^2 .

It is a cyclic number.

It is not a de Polignac number, because 102733712441 - 2¹⁸ = 102733450297 is a prime.

It is not a weakly prime, because it can be changed into another prime (102733712941) 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, 51366856220 + 51366856221.

It is an arithmetic number, because the mean of its divisors is an integer number (51366856221).

Almost surely, 2^102733712441 is an apocalyptic number.

It is an amenable number.

102733712441 is a deficient number, since it is larger than the sum of its proper divisors (1).

102733712441 is an equidigital number, since it uses as much as digits as its factorization.

102733712441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 102733712441 in words is "one hundred two billion, seven hundred thirty-three million, seven hundred twelve thousand, four hundred forty-one".