81441434081101 has 2 divisors, whose sum is σ = 81441434081102. Its totient is φ = 81441434081100.

The previous prime is 81441434081099. The next prime is 81441434081143. The reversal of 81441434081101 is 10118043414418.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75769887068100 + 5671547013001 = 8704590^2 + 2381501^2 .

It is a cyclic number.

It is not a de Polignac number, because 81441434081101 - 2¹ = 81441434081099 is a prime.

Together with 81441434081099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (81441434031101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40720717040550 + 40720717040551.

It is an arithmetic number, because the mean of its divisors is an integer number (40720717040551).

Almost surely, 2^{81441434081101} is an apocalyptic number.

It is an amenable number.

81441434081101 is a deficient number, since it is larger than the sum of its proper divisors (1).

81441434081101 is an equidigital number, since it uses as much as digits as its factorization.

81441434081101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 40.

Adding to 81441434081101 its reverse (10118043414418), we get a palindrome (91559477495519).

The spelling of 81441434081101 in words is "eighty-one trillion, four hundred forty-one billion, four hundred thirty-four million, eighty-one thousand, one hundred one".