101348581847041 has 2 divisors, whose sum is σ = 101348581847042. Its totient is φ = 101348581847040.

The previous prime is 101348581847021. The next prime is 101348581847059. The reversal of 101348581847041 is 140748185843101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98396559606016 + 2952022241025 = 9919504^2 + 1718145^2 .

It is a cyclic number.

It is not a de Polignac number, because 101348581847041 - 2⁷ = 101348581846913 is a prime.

It is not a weakly prime, because it can be changed into another prime (101348581847021) 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, 50674290923520 + 50674290923521.

It is an arithmetic number, because the mean of its divisors is an integer number (50674290923521).

Almost surely, 2^{101348581847041} is an apocalyptic number.

It is an amenable number.

101348581847041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101348581847041 is an equidigital number, since it uses as much as digits as its factorization.

101348581847041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3440640, while the sum is 55.

The spelling of 101348581847041 in words is "one hundred one trillion, three hundred forty-eight billion, five hundred eighty-one million, eight hundred forty-seven thousand, forty-one".