220100111000000 has 1176 divisors, whose sum is σ = 716753623873680. Its totient is φ = 66232320000000.

The previous prime is 220100110999981. The next prime is 220100111000023. The reversal of 220100111000000 is 111001022.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 15630992960 + ... + 15631007040.

Almost surely, 2^{220100111000000} is an apocalyptic number.

220100111000000 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 220100111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358376811936840).

220100111000000 is an abundant number, since it is smaller than the sum of its proper divisors (496653512873680).

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

220100111000000 is an equidigital number, since it uses as much as digits as its factorization.

220100111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14177 (or 14135 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 220100111000000 its reverse (111001022), we get a palindrome (220100222001022).

The spelling of 220100111000000 in words is "two hundred twenty trillion, one hundred billion, one hundred eleven million", and thus it is an aban number.