221101101111121 has 32 divisors (see below), whose sum is σ = 280333334108160. Its totient is φ = 169364865782400.

The previous prime is 221101101111097. The next prime is 221101101111131. The reversal of 221101101111121 is 121111101101122.

221101101111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221101101111121 - 2⁷ = 221101101110993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221101101111095 and 221101101111104.

It is not an unprimeable number, because it can be changed into a prime (221101101111131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758903340 + ... + 759194626.

It is an arithmetic number, because the mean of its divisors is an integer number (8760416690880).

Almost surely, 2^{221101101111121} is an apocalyptic number.

It is an amenable number.

221101101111121 is a deficient number, since it is larger than the sum of its proper divisors (59232232997039).

221101101111121 is a wasteful number, since it uses less digits than its factorization.

221101101111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458445.

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

Adding to 221101101111121 its reverse (121111101101122), we get a palindrome (342212202212243).

Subtracting from 221101101111121 its reverse (121111101101122), we obtain a palindrome (99990000009999).

The spelling of 221101101111121 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, one hundred twenty-one".