111010111111001 has 2 divisors, whose sum is σ = 111010111111002. Its totient is φ = 111010111111000.

The previous prime is 111010111110949. The next prime is 111010111111019. The reversal of 111010111111001 is 100111111010111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71226172993600 + 39783938117401 = 8439560^2 + 6307451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111010111111001 is a prime.

It is not a weakly prime, because it can be changed into another prime (111010111111021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505055555500 + 55505055555501.

It is an arithmetic number, because the mean of its divisors is an integer number (55505055555501).

Almost surely, 2^{111010111111001} is an apocalyptic number.

It is an amenable number.

111010111111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010111111001 is an equidigital number, since it uses as much as digits as its factorization.

111010111111001 is an evil number, because the sum of its binary digits is even.

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

Adding to 111010111111001 its reverse (100111111010111), we get a palindrome (211121222121112).

The spelling of 111010111111001 in words is "one hundred eleven trillion, ten billion, one hundred eleven million, one hundred eleven thousand, one".