100144441193 has 2 divisors, whose sum is σ = 100144441194. Its totient is φ = 100144441192.

The previous prime is 100144441183. The next prime is 100144441259. The reversal of 100144441193 is 391144441001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100050118249 + 94322944 = 316307^2 + 9712^2 .

It is an emirp because it is prime and its reverse (391144441001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100144441193 is a prime.

It is not a weakly prime, because it can be changed into another prime (100144441123) 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, 50072220596 + 50072220597.

It is an arithmetic number, because the mean of its divisors is an integer number (50072220597).

Almost surely, 2^100144441193 is an apocalyptic number.

It is an amenable number.

100144441193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100144441193 is an equidigital number, since it uses as much as digits as its factorization.

100144441193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

Adding to 100144441193 its reverse (391144441001), we get a palindrome (491288882194).

The spelling of 100144441193 in words is "one hundred billion, one hundred forty-four million, four hundred forty-one thousand, one hundred ninety-three".