100405144241 has 2 divisors, whose sum is σ = 100405144242. Its totient is φ = 100405144240.

The previous prime is 100405144223. The next prime is 100405144243. The reversal of 100405144241 is 142441504001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65106625600 + 35298518641 = 255160^2 + 187879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100405144241 is a prime.

Together with 100405144243, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100405144241.

It is not a weakly prime, because it can be changed into another prime (100405144243) 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, 50202572120 + 50202572121.

It is an arithmetic number, because the mean of its divisors is an integer number (50202572121).

Almost surely, 2^100405144241 is an apocalyptic number.

It is an amenable number.

100405144241 is a deficient number, since it is larger than the sum of its proper divisors (1).

100405144241 is an equidigital number, since it uses as much as digits as its factorization.

100405144241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 100405144241 its reverse (142441504001), we get a palindrome (242846648242).

The spelling of 100405144241 in words is "one hundred billion, four hundred five million, one hundred forty-four thousand, two hundred forty-one".