111201122001001 has 2 divisors, whose sum is σ = 111201122001002. Its totient is φ = 111201122001000.

The previous prime is 111201122000851. The next prime is 111201122001043. The reversal of 111201122001001 is 100100221102111.

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., 64136857085401 + 47064264915600 = 8008549^2 + 6860340^2 .

It is a cyclic number.

It is not a de Polignac number, because 111201122001001 - 2³⁷ = 111063683047529 is a prime.

It is not a weakly prime, because it can be changed into another prime (111201122001701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55600561000500 + 55600561000501.

It is an arithmetic number, because the mean of its divisors is an integer number (55600561000501).

Almost surely, 2^{111201122001001} is an apocalyptic number.

It is an amenable number.

111201122001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111201122001001 is an equidigital number, since it uses as much as digits as its factorization.

111201122001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111201122001001 its reverse (100100221102111), we get a palindrome (211301343103112).

The spelling of 111201122001001 in words is "one hundred eleven trillion, two hundred one billion, one hundred twenty-two million, one thousand, one".