11100221011121 has 16 divisors (see below), whose sum is σ = 12113238356928. Its totient is φ = 10087855377600.

The previous prime is 11100221011097. The next prime is 11100221011129. The reversal of 11100221011121 is 12111012200111.

11100221011121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11100221011121 - 2³⁴ = 11083041141937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11100221011096 and 11100221011105.

It is not an unprimeable number, because it can be changed into a prime (11100221011129) 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, 641882351 + ... + 641899643.

It is an arithmetic number, because the mean of its divisors is an integer number (757077397308).

Almost surely, 2^{11100221011121} is an apocalyptic number.

11100221011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100221011121 is a deficient number, since it is larger than the sum of its proper divisors (1013017345807).

11100221011121 is a wasteful number, since it uses less digits than its factorization.

11100221011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32752.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11100221011121 its reverse (12111012200111), we get a palindrome (23211233211232).

The spelling of 11100221011121 in words is "eleven trillion, one hundred billion, two hundred twenty-one million, eleven thousand, one hundred twenty-one".