100144002099709 has 2 divisors, whose sum is σ = 100144002099710. Its totient is φ = 100144002099708.

The previous prime is 100144002099697. The next prime is 100144002099719. The reversal of 100144002099709 is 907990200441001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97652876510809 + 2491125588900 = 9881947^2 + 1578330^2 .

It is an emirp because it is prime and its reverse (907990200441001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100144002099709 - 2²⁵ = 100143968545277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100144002099719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50072001049854 + 50072001049855.

It is an arithmetic number, because the mean of its divisors is an integer number (50072001049855).

Almost surely, 2^{100144002099709} is an apocalyptic number.

It is an amenable number.

100144002099709 is a deficient number, since it is larger than the sum of its proper divisors (1).

100144002099709 is an equidigital number, since it uses as much as digits as its factorization.

100144002099709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 100144002099709 in words is "one hundred trillion, one hundred forty-four billion, two million, ninety-nine thousand, seven hundred nine".