100041204442441 has 2 divisors, whose sum is σ = 100041204442442. Its totient is φ = 100041204442440.

The previous prime is 100041204442379. The next prime is 100041204442463. The reversal of 100041204442441 is 144244402140001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87905700646416 + 12135503796025 = 9375804^2 + 3483605^2 .

It is a cyclic number.

It is not a de Polignac number, because 100041204442441 - 2²¹ = 100041202345289 is a prime.

It is not a weakly prime, because it can be changed into another prime (100041204449441) 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, 50020602221220 + 50020602221221.

It is an arithmetic number, because the mean of its divisors is an integer number (50020602221221).

Almost surely, 2^{100041204442441} is an apocalyptic number.

It is an amenable number.

100041204442441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100041204442441 is an equidigital number, since it uses as much as digits as its factorization.

100041204442441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 100041204442441 its reverse (144244402140001), we get a palindrome (244285606582442).

The spelling of 100041204442441 in words is "one hundred trillion, forty-one billion, two hundred four million, four hundred forty-two thousand, four hundred forty-one".