100301321304001 has 2 divisors, whose sum is σ = 100301321304002. Its totient is φ = 100301321304000.

The previous prime is 100301321303933. The next prime is 100301321304007. The reversal of 100301321304001 is 100403123103001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50927862413376 + 49373458890625 = 7136376^2 + 7026625^2 .

It is a cyclic number.

It is not a de Polignac number, because 100301321304001 - 2⁷ = 100301321303873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100301321304001.

It is not a weakly prime, because it can be changed into another prime (100301321304007) 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, 50150660652000 + 50150660652001.

It is an arithmetic number, because the mean of its divisors is an integer number (50150660652001).

Almost surely, 2^{100301321304001} is an apocalyptic number.

It is an amenable number.

100301321304001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100301321304001 is an equidigital number, since it uses as much as digits as its factorization.

100301321304001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100301321304001 its reverse (100403123103001), we get a palindrome (200704444407002).

The spelling of 100301321304001 in words is "one hundred trillion, three hundred one billion, three hundred twenty-one million, three hundred four thousand, one".