11102110211011 has 16 divisors (see below), whose sum is σ = 11638514119680. Its totient is φ = 10570264024320.

The previous prime is 11102110210987. The next prime is 11102110211063. The reversal of 11102110211011 is 11011201120111.

It is a cyclic number.

It is not a de Polignac number, because 11102110211011 - 2⁵ = 11102110210979 is a prime.

It is a super-2 number, since 2×11102110211011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11102110210982 and 11102110211000.

It is not an unprimeable number, because it can be changed into a prime (11102110211111) 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 15 ways as a sum of consecutive naturals, for example, 4993555 + ... + 6865843.

It is an arithmetic number, because the mean of its divisors is an integer number (727407132480).

Almost surely, 2^{11102110211011} is an apocalyptic number.

11102110211011 is a deficient number, since it is larger than the sum of its proper divisors (536403908669).

11102110211011 is a wasteful number, since it uses less digits than its factorization.

11102110211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873506.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11102110211011 its reverse (11011201120111), we get a palindrome (22113311331122).

The spelling of 11102110211011 in words is "eleven trillion, one hundred two billion, one hundred ten million, two hundred eleven thousand, eleven".