11011022011011 has 32 divisors (see below), whose sum is σ = 16176288704256. Its totient is φ = 6606586800000.

The previous prime is 11011022011001. The next prime is 11011022011021.

11011022011011 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (11011022011001) and next prime (11011022011021).

It is not a de Polignac number, because 11011022011011 - 2³⁵ = 10976662272643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11011022011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32833200 + ... + 33166866.

It is an arithmetic number, because the mean of its divisors is an integer number (505509022008).

Almost surely, 2^{11011022011011} is an apocalyptic number.

11011022011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011022011011 is a deficient number, since it is larger than the sum of its proper divisors (5165266693245).

11011022011011 is a wasteful number, since it uses less digits than its factorization.

11011022011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343683.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1101102 and 2011011, that multiplied together give a palindrome (2214328234122).

The spelling of 11011022011011 in words is "eleven trillion, eleven billion, twenty-two million, eleven thousand, eleven".