110110200220100 has 288 divisors, whose sum is σ = 256546232490240. Its totient is φ = 40959618416640.

The previous prime is 110110200220061. The next prime is 110110200220123. The reversal of 110110200220100 is 1022002011011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1373470217 + ... + 1373550383.

It is an arithmetic number, because the mean of its divisors is an integer number (890785529480).

Almost surely, 2^{110110200220100} is an apocalyptic number.

110110200220100 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 110110200220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128273116245120).

110110200220100 is an abundant number, since it is smaller than the sum of its proper divisors (146436032270140).

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

110110200220100 is a wasteful number, since it uses less digits than its factorization.

110110200220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80447 (or 80440 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110110200220100 its reverse (1022002011011), we get a palindrome (111132202231111).

The spelling of 110110200220100 in words is "one hundred ten trillion, one hundred ten billion, two hundred million, two hundred twenty thousand, one hundred".