11101121120011 has 12 divisors (see below), whose sum is σ = 12020846669760. Its totient is φ = 10247098324320.

The previous prime is 11101121120003. The next prime is 11101121120041. The reversal of 11101121120011 is 11002112110111.

It is not a de Polignac number, because 11101121120011 - 2³ = 11101121120003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101121119973 and 11101121120000.

It is not an unprimeable number, because it can be changed into a prime (11101121120041) 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 11 ways as a sum of consecutive naturals, for example, 25913425 + ... + 26338333.

It is an arithmetic number, because the mean of its divisors is an integer number (1001737222480).

Almost surely, 2^{11101121120011} is an apocalyptic number.

11101121120011 is a deficient number, since it is larger than the sum of its proper divisors (919725549749).

11101121120011 is a wasteful number, since it uses less digits than its factorization.

11101121120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579526 (or 579513 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11101121120011 its reverse (11002112110111), we get a palindrome (22103233230122).

The spelling of 11101121120011 in words is "eleven trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty thousand, eleven".