100441123361 has 2 divisors, whose sum is σ = 100441123362. Its totient is φ = 100441123360.

The previous prime is 100441123253. The next prime is 100441123379. The reversal of 100441123361 is 163321144001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53490900961 + 46950222400 = 231281^2 + 216680^2 .

It is a cyclic number.

It is not a de Polignac number, because 100441123361 - 2²² = 100436929057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100441123361.

It is not a weakly prime, because it can be changed into another prime (100441123061) 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, 50220561680 + 50220561681.

It is an arithmetic number, because the mean of its divisors is an integer number (50220561681).

Almost surely, 2^100441123361 is an apocalyptic number.

It is an amenable number.

100441123361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100441123361 is an equidigital number, since it uses as much as digits as its factorization.

100441123361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 100441123361 its reverse (163321144001), we get a palindrome (263762267362).

The spelling of 100441123361 in words is "one hundred billion, four hundred forty-one million, one hundred twenty-three thousand, three hundred sixty-one".