101440341257 has 2 divisors, whose sum is σ = 101440341258. Its totient is φ = 101440341256.

The previous prime is 101440341187. The next prime is 101440341269. The reversal of 101440341257 is 752143044101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93189162361 + 8251178896 = 305269^2 + 90836^2 .

It is a cyclic number.

It is not a de Polignac number, because 101440341257 - 2¹⁶ = 101440275721 is a prime.

It is not a weakly prime, because it can be changed into another prime (101440301257) 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, 50720170628 + 50720170629.

It is an arithmetic number, because the mean of its divisors is an integer number (50720170629).

Almost surely, 2^101440341257 is an apocalyptic number.

It is an amenable number.

101440341257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101440341257 is an equidigital number, since it uses as much as digits as its factorization.

101440341257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 32.

Adding to 101440341257 its reverse (752143044101), we get a palindrome (853583385358).

The spelling of 101440341257 in words is "one hundred one billion, four hundred forty million, three hundred forty-one thousand, two hundred fifty-seven".