100321300111001 has 2 divisors, whose sum is σ = 100321300111002. Its totient is φ = 100321300111000.

The previous prime is 100321300110973. The next prime is 100321300111063. The reversal of 100321300111001 is 100111003123001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61725535033600 + 38595765077401 = 7856560^2 + 6212549^2 .

It is a cyclic number.

It is not a de Polignac number, because 100321300111001 - 2⁶ = 100321300110937 is a prime.

It is not a weakly prime, because it can be changed into another prime (100321330111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50160650055500 + 50160650055501.

It is an arithmetic number, because the mean of its divisors is an integer number (50160650055501).

Almost surely, 2^{100321300111001} is an apocalyptic number.

It is an amenable number.

100321300111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100321300111001 is an equidigital number, since it uses as much as digits as its factorization.

100321300111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 100321300111001 its reverse (100111003123001), we get a palindrome (200432303234002).

The spelling of 100321300111001 in words is "one hundred trillion, three hundred twenty-one billion, three hundred million, one hundred eleven thousand, one".