111001041001 has 2 divisors, whose sum is σ = 111001041002. Its totient is φ = 111001041000.

The previous prime is 111001040989. The next prime is 111001041023. The reversal of 111001041001 is 100140100111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73170791001 + 37830250000 = 270501^2 + 194500^2 .

It is an emirp because it is prime and its reverse (100140100111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111001041001 - 2²⁵ = 110967486569 is a prime.

It is a super-2 number, since 2×111001041001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111001041031) 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, 55500520500 + 55500520501.

It is an arithmetic number, because the mean of its divisors is an integer number (55500520501).

Almost surely, 2^111001041001 is an apocalyptic number.

It is an amenable number.

111001041001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001041001 is an equidigital number, since it uses as much as digits as its factorization.

111001041001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111001041001 its reverse (100140100111), we get a palindrome (211141141112).

The spelling of 111001041001 in words is "one hundred eleven billion, one million, forty-one thousand, one".