100007038764901 has 2 divisors, whose sum is σ = 100007038764902. Its totient is φ = 100007038764900.

The previous prime is 100007038764887. The next prime is 100007038764911. The reversal of 100007038764901 is 109467830700001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89132971932676 + 10874066832225 = 9441026^2 + 3297585^2 .

It is a cyclic number.

It is not a de Polignac number, because 100007038764901 - 2¹¹ = 100007038762853 is a prime.

It is a super-2 number, since 2×100007038764901² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100007038764911) 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, 50003519382450 + 50003519382451.

It is an arithmetic number, because the mean of its divisors is an integer number (50003519382451).

Almost surely, 2^{100007038764901} is an apocalyptic number.

It is an amenable number.

100007038764901 is a deficient number, since it is larger than the sum of its proper divisors (1).

100007038764901 is an equidigital number, since it uses as much as digits as its factorization.

100007038764901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 100007038764901 in words is "one hundred trillion, seven billion, thirty-eight million, seven hundred sixty-four thousand, nine hundred one".