10021311100320 has 192 divisors, whose sum is σ = 34009905041280. Its totient is φ = 2465729630208.

The previous prime is 10021311100313. The next prime is 10021311100321. The reversal of 10021311100320 is 2300111312001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10021311100320.

It is not an unprimeable number, because it can be changed into a prime (10021311100321) 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 31 ways as a sum of consecutive naturals, for example, 14303146 + ... + 14987414.

It is an arithmetic number, because the mean of its divisors is an integer number (177134922090).

Almost surely, 2^{10021311100320} is an apocalyptic number.

10021311100320 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 10021311100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004952520640).

10021311100320 is an abundant number, since it is smaller than the sum of its proper divisors (23988593940960).

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

10021311100320 is a wasteful number, since it uses less digits than its factorization.

10021311100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686647 (or 686639 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10021311100320 its reverse (2300111312001), we get a palindrome (12321422412321).

The spelling of 10021311100320 in words is "ten trillion, twenty-one billion, three hundred eleven million, one hundred thousand, three hundred twenty".