11211011111011 has 8 divisors (see below), whose sum is σ = 11809299571920. Its totient is φ = 10613546174592.

The previous prime is 11211011110969. The next prime is 11211011111017. The reversal of 11211011111011 is 11011111011211.

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

It is a cyclic number.

It is not a de Polignac number, because 11211011111011 - 2⁷ = 11211011110883 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11211011110982 and 11211011111000.

It is not an unprimeable number, because it can be changed into a prime (11211011111017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205853170 + ... + 205907623.

It is an arithmetic number, because the mean of its divisors is an integer number (1476162446490).

Almost surely, 2^{11211011111011} is an apocalyptic number.

11211011111011 is a deficient number, since it is larger than the sum of its proper divisors (598288460909).

11211011111011 is a wasteful number, since it uses less digits than its factorization.

11211011111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411762245.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 11211011111011 its reverse (11011111011211), we get a palindrome (22222122122222).

The spelling of 11211011111011 in words is "eleven trillion, two hundred eleven billion, eleven million, one hundred eleven thousand, eleven".