220111101000000 has 1176 divisors, whose sum is σ = 934674857258688. Its totient is φ = 50310720000000.

The previous prime is 220111100999957. The next prime is 220111101000019. The reversal of 220111101000000 is 101111022.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1700935300 + ... + 1701064700.

It is an arithmetic number, because the mean of its divisors is an integer number (794791545288).

Almost surely, 2^{220111101000000} is an apocalyptic number.

220111101000000 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 220111101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467337428629344).

220111101000000 is an abundant number, since it is smaller than the sum of its proper divisors (714563756258688).

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

220111101000000 is an frugal number, since it uses more digits than its factorization.

220111101000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129465 (or 129418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 220111101000000 its reverse (101111022), we get a palindrome (220111202111022).

The spelling of 220111101000000 in words is "two hundred twenty trillion, one hundred eleven billion, one hundred one million", and thus it is an aban number.