11122111121011 has 8 divisors (see below), whose sum is σ = 12134490637248. Its totient is φ = 10109944689000.

The previous prime is 11122111120963. The next prime is 11122111121021. The reversal of 11122111121011 is 11012111122111.

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 11122111121011 - 2²¹ = 11122109023859 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11122111121021) 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, 53161905 + ... + 53370706.

It is an arithmetic number, because the mean of its divisors is an integer number (1516811329656).

Almost surely, 2^{11122111121011} is an apocalyptic number.

11122111121011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11122111121011 is a deficient number, since it is larger than the sum of its proper divisors (1012379516237).

11122111121011 is a wasteful number, since it uses less digits than its factorization.

11122111121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106542113.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 11122111121011 its reverse (11012111122111), we get a palindrome (22134222243122).

The spelling of 11122111121011 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, eleven".