11011211211011 has 8 divisors (see below), whose sum is σ = 12013551853248. Its totient is φ = 10009090809000.

The previous prime is 11011211210999. The next prime is 11011211211031.

11011211211011 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11011211211011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11011211211031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54955505 + ... + 55155506.

It is an arithmetic number, because the mean of its divisors is an integer number (1501693981656).

Almost surely, 2^{11011211211011} is an apocalyptic number.

11011211211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11011211211011 is a deficient number, since it is larger than the sum of its proper divisors (1002340642237).

11011211211011 is a wasteful number, since it uses less digits than its factorization.

11011211211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110120113.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 1101121 and 1211011, that multiplied together give a palindrome (1333469643331).

The spelling of 11011211211011 in words is "eleven trillion, eleven billion, two hundred eleven million, two hundred eleven thousand, eleven".