1100100011009 has 16 divisors (see below), whose sum is σ = 1114788729600. Its totient is φ = 1085465297664.

The previous prime is 1100100010979. The next prime is 1100100011119. The reversal of 1100100011009 is 9001100010011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100100011009 - 2¹⁶ = 1100099945473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100100010984 and 1100100011002.

It is not an unprimeable number, because it can be changed into a prime (1100100011809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104101844 + ... + 104112410.

It is an arithmetic number, because the mean of its divisors is an integer number (69674295600).

Almost surely, 2^{1100100011009} is an apocalyptic number.

It is an amenable number.

1100100011009 is a deficient number, since it is larger than the sum of its proper divisors (14688718591).

1100100011009 is a wasteful number, since it uses less digits than its factorization.

1100100011009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12992.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 1100100011009 in words is "one trillion, one hundred billion, one hundred million, eleven thousand, nine".