1101101101011 has 6 divisors (see below), whose sum is σ = 1590479368140. Its totient is φ = 734067400668.

The previous prime is 1101101100991. The next prime is 1101101101027. The reversal of 1101101101011 is 1101011011011.

It is not a de Polignac number, because 1101101101011 - 2³³ = 1092511166419 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 122344566779 = 1101101101011 / (1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 1101101100984 and 1101101101002.

It is not an unprimeable number, because it can be changed into a prime (1101101101411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61172283381 + ... + 61172283398.

It is an arithmetic number, because the mean of its divisors is an integer number (265079894690).

Almost surely, 2^{1101101101011} is an apocalyptic number.

1101101101011 is a deficient number, since it is larger than the sum of its proper divisors (489378267129).

1101101101011 is a wasteful number, since it uses less digits than its factorization.

1101101101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122344566785 (or 122344566782 counting only the distinct ones).

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

Adding to 1101101101011 its reverse (1101011011011), we get a palindrome (2202112112022).

It can be divided in two parts, 110110 and 1101011, that added together give a palindrome (1211121).

The spelling of 1101101101011 in words is "one trillion, one hundred one billion, one hundred one million, one hundred one thousand, eleven".