1100110001001 has 16 divisors (see below), whose sum is σ = 1600272735168. Its totient is φ = 666686361600.

The previous prime is 1100110000999. The next prime is 1100110001063. The reversal of 1100110001001 is 1001000110011.

It is not a de Polignac number, because 1100110001001 - 2¹ = 1100110000999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1100110000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695896 + ... + 1638441.

It is an arithmetic number, because the mean of its divisors is an integer number (100017045948).

Almost surely, 2^{1100110001001} is an apocalyptic number.

1100110001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100110001001 is a deficient number, since it is larger than the sum of its proper divisors (500162734167).

1100110001001 is a wasteful number, since it uses less digits than its factorization.

1100110001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348632.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1100110001001 its reverse (1001000110011), we get a palindrome (2101110111012).

The spelling of 1100110001001 in words is "one trillion, one hundred billion, one hundred ten million, one thousand, one".