10220302313300 has 72 divisors (see below), whose sum is σ = 22962250868760. Its totient is φ = 3943807705600.

The previous prime is 10220302313279. The next prime is 10220302313357. The reversal of 10220302313300 is 331320302201.

It can be written as a sum of positive squares in 12 ways, for example, as 58718013124 + 10161584300176 = 242318^2 + 3187724^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1932842 + ... + 4916958.

It is an arithmetic number, because the mean of its divisors is an integer number (318920150955).

Almost surely, 2^{10220302313300} is an apocalyptic number.

10220302313300 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 10220302313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11481125434380).

10220302313300 is an abundant number, since it is smaller than the sum of its proper divisors (12741948555460).

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

10220302313300 is a wasteful number, since it uses less digits than its factorization.

10220302313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985341 (or 2985334 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10220302313300 its reverse (331320302201), we get a palindrome (10551622615501).

The spelling of 10220302313300 in words is "ten trillion, two hundred twenty billion, three hundred two million, three hundred thirteen thousand, three hundred".