11101100122120 has 64 divisors (see below), whose sum is σ = 26416686628800. Its totient is φ = 4186795495680.

The previous prime is 11101100122111. The next prime is 11101100122121. The reversal of 11101100122120 is 2122100110111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11101100122120.

It is not an unprimeable number, because it can be changed into a prime (11101100122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34452699 + ... + 34773418.

It is an arithmetic number, because the mean of its divisors is an integer number (412760728575).

Almost surely, 2^{11101100122120} is an apocalyptic number.

11101100122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101100122120 is an abundant number, since it is smaller than the sum of its proper divisors (15315586506680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11101100122120 is a wasteful number, since it uses less digits than its factorization.

11101100122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69226358 (or 69226354 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11101100122120 its reverse (2122100110111), we get a palindrome (13223200232231).

The spelling of 11101100122120 in words is "eleven trillion, one hundred one billion, one hundred million, one hundred twenty-two thousand, one hundred twenty".