1100006005601 has 2 divisors, whose sum is σ = 1100006005602. Its totient is φ = 1100006005600.

The previous prime is 1100006005459. The next prime is 1100006005619. The reversal of 1100006005601 is 1065006000011.

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., 1094113908001 + 5892097600 = 1045999^2 + 76760^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100006005601 - 2¹⁰ = 1100006004577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100006005621) 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, 550003002800 + 550003002801.

It is an arithmetic number, because the mean of its divisors is an integer number (550003002801).

Almost surely, 2^{1100006005601} is an apocalyptic number.

It is an amenable number.

1100006005601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100006005601 is an equidigital number, since it uses as much as digits as its factorization.

1100006005601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1100006005601 in words is "one trillion, one hundred billion, six million, five thousand, six hundred one".