11101100121 has 48 divisors (see below), whose sum is σ = 17237960064. Its totient is φ = 6866145792.

The previous prime is 11101100119. The next prime is 11101100123. The reversal of 11101100121 is 12100110111.

11101100121 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 (11101100119) and next prime (11101100123).

It is not a de Polignac number, because 11101100121 - 2¹ = 11101100119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11101100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2655585 + ... + 2659761.

It is an arithmetic number, because the mean of its divisors is an integer number (359124168).

Almost surely, 2^11101100121 is an apocalyptic number.

It is an amenable number.

11101100121 is a deficient number, since it is larger than the sum of its proper divisors (6136859943).

11101100121 is a wasteful number, since it uses less digits than its factorization.

11101100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101100121 its reverse (12100110111), we get a palindrome (23201210232).

The spelling of 11101100121 in words is "eleven billion, one hundred one million, one hundred thousand, one hundred twenty-one".