11101122111121 has 32 divisors (see below), whose sum is σ = 13194776641536. Its totient is φ = 9141799632000.

The previous prime is 11101122111103. The next prime is 11101122111197. The reversal of 11101122111121 is 12111122110111.

It is not a de Polignac number, because 11101122111121 - 2¹⁵ = 11101122078353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11101122111095 and 11101122111104.

It is not an unprimeable number, because it can be changed into a prime (11101122151121) 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 31 ways as a sum of consecutive naturals, for example, 17269716 + ... + 17900986.

It is an arithmetic number, because the mean of its divisors is an integer number (412336770048).

Almost surely, 2^{11101122111121} is an apocalyptic number.

It is an amenable number.

11101122111121 is a deficient number, since it is larger than the sum of its proper divisors (2093654530415).

11101122111121 is an equidigital number, since it uses as much as digits as its factorization.

11101122111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632253.

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

Adding to 11101122111121 its reverse (12111122110111), we get a palindrome (23212244221232).

The spelling of 11101122111121 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".