221120111211100 has 144 divisors (see below), whose sum is σ = 494624470320288. Its totient is φ = 85751658639360.

The previous prime is 221120111211073. The next prime is 221120111211107. The reversal of 221120111211100 is 1112111021122.

221120111211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120111211107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10894216152 + ... + 10894236448.

It is an arithmetic number, because the mean of its divisors is an integer number (3434892155002).

Almost surely, 2^{221120111211100} is an apocalyptic number.

221120111211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221120111211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247312235160144).

221120111211100 is an abundant number, since it is smaller than the sum of its proper divisors (273504359109188).

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

221120111211100 is a wasteful number, since it uses less digits than its factorization.

221120111211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38984 (or 38977 counting only the distinct ones).

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

Adding to 221120111211100 its reverse (1112111021122), we get a palindrome (222232222232222).

The spelling of 221120111211100 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred eleven million, two hundred eleven thousand, one hundred".