11121014104001 has 2 divisors, whose sum is σ = 11121014104002. Its totient is φ = 11121014104000.

The previous prime is 11121014103977. The next prime is 11121014104021. The reversal of 11121014104001 is 10040141012111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11091730680625 + 29283423376 = 3330425^2 + 171124^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121014104001 - 2⁶ = 11121014103937 is a prime.

It is not a weakly prime, because it can be changed into another prime (11121014104021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5560507052000 + 5560507052001.

It is an arithmetic number, because the mean of its divisors is an integer number (5560507052001).

Almost surely, 2^{11121014104001} is an apocalyptic number.

It is an amenable number.

11121014104001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121014104001 is an equidigital number, since it uses as much as digits as its factorization.

11121014104001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11121014104001 its reverse (10040141012111), we get a palindrome (21161155116112).

The spelling of 11121014104001 in words is "eleven trillion, one hundred twenty-one billion, fourteen million, one hundred four thousand, one".