11011121122211 has 8 divisors (see below), whose sum is σ = 12851886051840. Its totient is φ = 9237293099208.

The previous prime is 11011121122181. The next prime is 11011121122223. The reversal of 11011121122211 is 11222112111011.

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 11011121122211 - 2⁶ = 11011121122147 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 11011121122211.

It is not an unprimeable number, because it can be changed into a prime (11011121142211) 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 7 ways as a sum of consecutive naturals, for example, 16734226301 + ... + 16734226958.

It is an arithmetic number, because the mean of its divisors is an integer number (1606485756480).

Almost surely, 2^{11011121122211} is an apocalyptic number.

11011121122211 is a deficient number, since it is larger than the sum of its proper divisors (1840764929629).

11011121122211 is an equidigital number, since it uses as much as digits as its factorization.

11011121122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33468453313.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 11011121122211 its reverse (11222112111011), we get a palindrome (22233233233222).

The spelling of 11011121122211 in words is "eleven trillion, eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred eleven".