100144342244113 has 2 divisors, whose sum is σ = 100144342244114. Its totient is φ = 100144342244112.

The previous prime is 100144342244087. The next prime is 100144342244201. The reversal of 100144342244113 is 311442243441001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88374420188289 + 11769922055824 = 9400767^2 + 3430732^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100144342244113 is a prime.

It is not a weakly prime, because it can be changed into another prime (100144342244213) 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, 50072171122056 + 50072171122057.

It is an arithmetic number, because the mean of its divisors is an integer number (50072171122057).

Almost surely, 2^{100144342244113} is an apocalyptic number.

It is an amenable number.

100144342244113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100144342244113 is an equidigital number, since it uses as much as digits as its factorization.

100144342244113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 100144342244113 its reverse (311442243441001), we get a palindrome (411586585685114).

The spelling of 100144342244113 in words is "one hundred trillion, one hundred forty-four billion, three hundred forty-two million, two hundred forty-four thousand, one hundred thirteen".