220102202020100 has 72 divisors (see below), whose sum is σ = 480492615020040. Its totient is φ = 87511927444480.

The previous prime is 220102202020021. The next prime is 220102202020123. The reversal of 220102202020100 is 1020202201022.

It can be written as a sum of positive squares in 12 ways, for example, as 15957247684 + 220086244772416 = 126322^2 + 14835304^2 .

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 23 ways as a sum of consecutive naturals, for example, 74198216 + ... + 77107584.

It is an arithmetic number, because the mean of its divisors is an integer number (6673508541945).

Almost surely, 2^{220102202020100} is an apocalyptic number.

220102202020100 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 220102202020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240246307510020).

220102202020100 is an abundant number, since it is smaller than the sum of its proper divisors (260390412999940).

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

220102202020100 is a wasteful number, since it uses less digits than its factorization.

220102202020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913929 (or 2913922 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220102202020100 its reverse (1020202201022), we get a palindrome (221122404221122).

The spelling of 220102202020100 in words is "two hundred twenty trillion, one hundred two billion, two hundred two million, twenty thousand, one hundred".