10220202300 has 288 divisors, whose sum is σ = 37476601344. Its totient is φ = 2088576000.

The previous prime is 10220202259. The next prime is 10220202323. The reversal of 10220202300 is 320202201.

10220202300 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1405474 + ... + 1412726.

It is an arithmetic number, because the mean of its divisors is an integer number (130127088).

Almost surely, 2^10220202300 is an apocalyptic number.

10220202300 is a gapful number since it is divisible by the number (10) 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 10220202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738300672).

10220202300 is an abundant number, since it is smaller than the sum of its proper divisors (27256399044).

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

10220202300 is a wasteful number, since it uses less digits than its factorization.

10220202300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7349 (or 7342 counting only the distinct ones).

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

Adding to 10220202300 its reverse (320202201), we get a palindrome (10540404501).

Subtracting from 10220202300 its reverse (320202201), we obtain a palindrome (9900000099).

The spelling of 10220202300 in words is "ten billion, two hundred twenty million, two hundred two thousand, three hundred".