220103202000 has 320 divisors, whose sum is σ = 776203534080. Its totient is φ = 53214976000.

The previous prime is 220103201987. The next prime is 220103202019. The reversal of 220103202000 is 202301022.

220103202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25669714 + ... + 25678286.

It is an arithmetic number, because the mean of its divisors is an integer number (2425636044).

Almost surely, 2^220103202000 is an apocalyptic number.

220103202000 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 220103202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388101767040).

220103202000 is an abundant number, since it is smaller than the sum of its proper divisors (556100332080).

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

220103202000 is a wasteful number, since it uses less digits than its factorization.

220103202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8983 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 220103202000 its reverse (202301022), we get a palindrome (220305503022).

The spelling of 220103202000 in words is "two hundred twenty billion, one hundred three million, two hundred two thousand".