220120021100 has 216 divisors, whose sum is σ = 572145567840. Its totient is φ = 72001290240.

The previous prime is 220120021067. The next prime is 220120021109. The reversal of 220120021100 is 1120021022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (220120021109) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 284760314 + ... + 284761086.

Almost surely, 2^220120021100 is an apocalyptic number.

220120021100 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 220120021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286072783920).

220120021100 is an abundant number, since it is smaller than the sum of its proper divisors (352025546740).

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

220120021100 is a wasteful number, since it uses less digits than its factorization.

220120021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220120021100 its reverse (1120021022), we get a palindrome (221240042122).

The spelling of 220120021100 in words is "two hundred twenty billion, one hundred twenty million, twenty-one thousand, one hundred".