11105101106011 has 12 divisors (see below), whose sum is σ = 12209416262176. Its totient is φ = 10093079470320.

The previous prime is 11105101105979. The next prime is 11105101106023. The reversal of 11105101106011 is 11060110150111.

It is not a de Polignac number, because 11105101106011 - 2⁵ = 11105101105979 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11105101106011.

It is not an unprimeable number, because it can be changed into a prime (11105101100011) 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, 10716291 + ... + 11706796.

Almost surely, 2^{11105101106011} is an apocalyptic number.

11105101106011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11105101106011 is a deficient number, since it is larger than the sum of its proper divisors (1104315156165).

11105101106011 is a wasteful number, since it uses less digits than its factorization.

11105101106011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22427202 (or 22427191 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 19.

Adding to 11105101106011 its reverse (11060110150111), we get a palindrome (22165211256122).

The spelling of 11105101106011 in words is "eleven trillion, one hundred five billion, one hundred one million, one hundred six thousand, eleven".