111100111111001 has 2 divisors, whose sum is σ = 111100111111002. Its totient is φ = 111100111111000.

The previous prime is 111100111110949. The next prime is 111100111111063. The reversal of 111100111111001 is 100111111001111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57656686240000 + 53443424871001 = 7593200^2 + 7310501^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100111111001 - 2²⁶ = 111100044002137 is a prime.

It is not a weakly prime, because it can be changed into another prime (111100111111501) 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, 55550055555500 + 55550055555501.

It is an arithmetic number, because the mean of its divisors is an integer number (55550055555501).

Almost surely, 2^{111100111111001} is an apocalyptic number.

It is an amenable number.

111100111111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100111111001 is an equidigital number, since it uses as much as digits as its factorization.

111100111111001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 111100111111001 its reverse (100111111001111), we get a palindrome (211211222112112).

It can be divided in two parts, 111 and 100111111001, that multiplied together give a palindrome (11112333321111).

The spelling of 111100111111001 in words is "one hundred eleven trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, one".