100365344129 has 2 divisors, whose sum is σ = 100365344130. Its totient is φ = 100365344128.

The previous prime is 100365344117. The next prime is 100365344201. The reversal of 100365344129 is 921443563001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91712065600 + 8653278529 = 302840^2 + 93023^2 .

It is a cyclic number.

It is not a de Polignac number, because 100365344129 - 2⁴ = 100365344113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100365344092 and 100365344101.

It is not a weakly prime, because it can be changed into another prime (100365344029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50182672064 + 50182672065.

It is an arithmetic number, because the mean of its divisors is an integer number (50182672065).

Almost surely, 2^100365344129 is an apocalyptic number.

It is an amenable number.

100365344129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100365344129 is an equidigital number, since it uses as much as digits as its factorization.

100365344129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 100365344129 in words is "one hundred billion, three hundred sixty-five million, three hundred forty-four thousand, one hundred twenty-nine".