100301520988729 has 2 divisors, whose sum is σ = 100301520988730. Its totient is φ = 100301520988728.

The previous prime is 100301520988679. The next prime is 100301520988733. The reversal of 100301520988729 is 927889025103001.

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., 91340167412025 + 8961353576704 = 9557205^2 + 2993552^2 .

It is a cyclic number.

It is not a de Polignac number, because 100301520988729 - 2⁷ = 100301520988601 is a prime.

It is a super-2 number, since 2×100301520988729² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100301520988729.

It is not a weakly prime, because it can be changed into another prime (100301520988769) 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, 50150760494364 + 50150760494365.

It is an arithmetic number, because the mean of its divisors is an integer number (50150760494365).

Almost surely, 2^{100301520988729} is an apocalyptic number.

It is an amenable number.

100301520988729 is a deficient number, since it is larger than the sum of its proper divisors (1).

100301520988729 is an equidigital number, since it uses as much as digits as its factorization.

100301520988729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 100301520988729 in words is "one hundred trillion, three hundred one billion, five hundred twenty million, nine hundred eighty-eight thousand, seven hundred twenty-nine".