110221100000220 has 576 divisors, whose sum is σ = 375521355030528. Its totient is φ = 24008580710400.

The previous prime is 110221100000191. The next prime is 110221100000239. The reversal of 110221100000220 is 22000001122011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110221100000196 and 110221100000205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1478904597 + ... + 1478979123.

It is an arithmetic number, because the mean of its divisors is an integer number (651946796928).

Almost surely, 2^{110221100000220} is an apocalyptic number.

110221100000220 is a gapful number since it is divisible by the number (10) 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 110221100000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187760677515264).

110221100000220 is an abundant number, since it is smaller than the sum of its proper divisors (265300255030308).

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

110221100000220 is a wasteful number, since it uses less digits than its factorization.

110221100000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75122 (or 75109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110221100000220 its reverse (22000001122011), we get a palindrome (132221101122231).

The spelling of 110221100000220 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred million, two hundred twenty", and thus it is an aban number.