1100110000001 has 2 divisors, whose sum is σ = 1100110000002. Its totient is φ = 1100110000000.

The previous prime is 1100109999869. The next prime is 1100110000007. The reversal of 1100110000001 is 1000000110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1098356400625 + 1753599376 = 1048025^2 + 41876^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100110000001 - 2¹⁴ = 1100109983617 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100110000001.

It is not a weakly prime, because it can be changed into another prime (1100110000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550055000000 + 550055000001.

It is an arithmetic number, because the mean of its divisors is an integer number (550055000001).

Almost surely, 2^{1100110000001} is an apocalyptic number.

It is an amenable number.

1100110000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100110000001 is an equidigital number, since it uses as much as digits as its factorization.

1100110000001 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 5.

Adding to 1100110000001 its reverse (1000000110011), we get a palindrome (2100110110012).

The spelling of 1100110000001 in words is "one trillion, one hundred billion, one hundred ten million, one", and thus it is an aban number.