101391434099441 has 2 divisors, whose sum is σ = 101391434099442. Its totient is φ = 101391434099440.

The previous prime is 101391434099413. The next prime is 101391434099479. The reversal of 101391434099441 is 144990434193101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93689255021041 + 7702179078400 = 9679321^2 + 2775280^2 .

It is a cyclic number.

It is not a de Polignac number, because 101391434099441 - 2¹⁰ = 101391434098417 is a prime.

It is not a weakly prime, because it can be changed into another prime (101391434099411) 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, 50695717049720 + 50695717049721.

It is an arithmetic number, because the mean of its divisors is an integer number (50695717049721).

Almost surely, 2^{101391434099441} is an apocalyptic number.

It is an amenable number.

101391434099441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101391434099441 is an equidigital number, since it uses as much as digits as its factorization.

101391434099441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 101391434099441 in words is "one hundred one trillion, three hundred ninety-one billion, four hundred thirty-four million, ninety-nine thousand, four hundred forty-one".