220110122100 has 144 divisors (see below), whose sum is σ = 699174374976. Its totient is φ = 53020032000.

The previous prime is 220110122093. The next prime is 220110122137. The reversal of 220110122100 is 1221011022.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305680 + ... + 730520.

It is an arithmetic number, because the mean of its divisors is an integer number (4855377604).

Almost surely, 2^220110122100 is an apocalyptic number.

220110122100 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 220110122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349587187488).

220110122100 is an abundant number, since it is smaller than the sum of its proper divisors (479064252876).

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

220110122100 is a wasteful number, since it uses less digits than its factorization.

220110122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425026 (or 425019 counting only the distinct ones).

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

Adding to 220110122100 its reverse (1221011022), we get a palindrome (221331133122).

The spelling of 220110122100 in words is "two hundred twenty billion, one hundred ten million, one hundred twenty-two thousand, one hundred".