221110201111120 has 160 divisors (see below), whose sum is σ = 521602015334400. Its totient is φ = 87155726326272.

The previous prime is 221110201111109. The next prime is 221110201111133. The reversal of 221110201111120 is 21111102011122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221110201111094 and 221110201111103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13942245751 + ... + 13942261609.

It is an arithmetic number, because the mean of its divisors is an integer number (3260012595840).

Almost surely, 2^{221110201111120} is an apocalyptic number.

221110201111120 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 221110201111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260801007667200).

221110201111120 is an abundant number, since it is smaller than the sum of its proper divisors (300491814223280).

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

221110201111120 is a wasteful number, since it uses less digits than its factorization.

221110201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21177 (or 21171 counting only the distinct ones).

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

Adding to 221110201111120 its reverse (21111102011122), we get a palindrome (242221303122242).

The spelling of 221110201111120 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred one million, one hundred eleven thousand, one hundred twenty".