220220242830100 has 144 divisors (see below), whose sum is σ = 500262203044800. Its totient is φ = 84035880248320.

The previous prime is 220220242830073. The next prime is 220220242830113. The reversal of 220220242830100 is 1038242022022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368009739 + ... + 368607661.

It is an arithmetic number, because the mean of its divisors is an integer number (3474043076700).

Almost surely, 2^{220220242830100} is an apocalyptic number.

220220242830100 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 220220242830100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250131101522400).

220220242830100 is an abundant number, since it is smaller than the sum of its proper divisors (280041960214700).

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

220220242830100 is a wasteful number, since it uses less digits than its factorization.

220220242830100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599482 (or 599475 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 220220242830100 its reverse (1038242022022), we get a palindrome (221258484852122).

The spelling of 220220242830100 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred forty-two million, eight hundred thirty thousand, one hundred".