10206424220300 has 288 divisors, whose sum is σ = 27688971792384. Its totient is φ = 3172488480000.

The previous prime is 10206424220269. The next prime is 10206424220323. The reversal of 10206424220300 is 302242460201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10206424220300.

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, 7955123459 + ... + 7955124741.

It is an arithmetic number, because the mean of its divisors is an integer number (96142263168).

Almost surely, 2^{10206424220300} is an apocalyptic number.

10206424220300 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 10206424220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844485896192).

10206424220300 is an abundant number, since it is smaller than the sum of its proper divisors (17482547572084).

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

10206424220300 is a wasteful number, since it uses less digits than its factorization.

10206424220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10206424220300 its reverse (302242460201), we get a palindrome (10508666680501).

The spelling of 10206424220300 in words is "ten trillion, two hundred six billion, four hundred twenty-four million, two hundred twenty thousand, three hundred".