110220020100 has 108 divisors (see below), whose sum is σ = 346277625876. Its totient is φ = 29324021760.

The previous prime is 110220020087. The next prime is 110220020123. The reversal of 110220020100 is 1020022011.

It can be written as a sum of positive squares in 6 ways, for example, as 26082896004 + 84137124096 = 161502^2 + 290064^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 248284 + ... + 531116.

Almost surely, 2^110220020100 is an apocalyptic number.

110220020100 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 110220020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173138812938).

110220020100 is an abundant number, since it is smaller than the sum of its proper divisors (236057605776).

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

110220020100 is a wasteful number, since it uses less digits than its factorization.

110220020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283286 (or 283276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110220020100 its reverse (1020022011), we get a palindrome (111240042111).

The spelling of 110220020100 in words is "one hundred ten billion, two hundred twenty million, twenty thousand, one hundred".