1101101011011 has 12 divisors (see below), whose sum is σ = 1593235708792. Its totient is φ = 732795123456.

The previous prime is 1101101011007. The next prime is 1101101011013.

1101101011011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1101101011011 - 2² = 1101101011007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

1101101011011 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101101010984 and 1101101011002.

It is not an unprimeable number, because it can be changed into a prime (1101101011013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106012621 + ... + 106023006.

Almost surely, 2^{1101101011011} is an apocalyptic number.

1101101011011 is a deficient number, since it is larger than the sum of its proper divisors (492134697781).

1101101011011 is a wasteful number, since it uses less digits than its factorization.

1101101011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212036210 (or 212036207 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

The spelling of 1101101011011 in words is "one trillion, one hundred one billion, one hundred one million, eleven thousand, eleven".