1100111011089 has 32 divisors (see below), whose sum is σ = 1636247278080. Its totient is φ = 653373004032.

The previous prime is 1100111011061. The next prime is 1100111011091. The reversal of 1100111011089 is 9801101110011.

It is not a de Polignac number, because 1100111011089 - 2¹² = 1100111006993 is a prime.

It is a super-3 number, since 3×1100111011089³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100111011889) 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 31 ways as a sum of consecutive naturals, for example, 638854 + ... + 1615040.

It is an arithmetic number, because the mean of its divisors is an integer number (51132727440).

Almost surely, 2^{1100111011089} is an apocalyptic number.

1100111011089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1100111011089 is a deficient number, since it is larger than the sum of its proper divisors (536136266991).

1100111011089 is a wasteful number, since it uses less digits than its factorization.

1100111011089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977389.

The product of its (nonzero) digits is 72, while the sum is 24.

The spelling of 1100111011089 in words is "one trillion, one hundred billion, one hundred eleven million, eleven thousand, eighty-nine".