110100100220 has 96 divisors (see below), whose sum is σ = 261055872000. Its totient is φ = 38636729600.

The previous prime is 110100100219. The next prime is 110100100277. The reversal of 110100100220 is 22001001011.

It is a junction number, because it is equal to n+sod(n) for n = 110100100198 and 110100100207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21045005 + ... + 21050235.

It is an arithmetic number, because the mean of its divisors is an integer number (2719332000).

Almost surely, 2^110100100220 is an apocalyptic number.

110100100220 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 110100100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130527936000).

110100100220 is an abundant number, since it is smaller than the sum of its proper divisors (150955771780).

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

110100100220 is a wasteful number, since it uses less digits than its factorization.

110100100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8577 counting only the distinct ones).

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

Adding to 110100100220 its reverse (22001001011), we get a palindrome (132101101231).

The spelling of 110100100220 in words is "one hundred ten billion, one hundred million, one hundred thousand, two hundred twenty".