11121210111011 has 16 divisors (see below), whose sum is σ = 14931974416128. Its totient is φ = 7999272007200.

The previous prime is 11121210110999. The next prime is 11121210111023. The reversal of 11121210111011 is 11011101212111.

11121210111011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11121210110999) and next prime (11121210111023).

It is a cyclic number.

It is not a de Polignac number, because 11121210111011 - 2²² = 11121205916707 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11121210111211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5555049005 + ... + 5555051006.

It is an arithmetic number, because the mean of its divisors is an integer number (933248401008).

Almost surely, 2^{11121210111011} is an apocalyptic number.

11121210111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121210111011 is a deficient number, since it is larger than the sum of its proper divisors (3810764305117).

11121210111011 is a wasteful number, since it uses less digits than its factorization.

11121210111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11110100042.

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

Adding to 11121210111011 its reverse (11011101212111), we get a palindrome (22132311323122).

The spelling of 11121210111011 in words is "eleven trillion, one hundred twenty-one billion, two hundred ten million, one hundred eleven thousand, eleven".