10021200130320 has 80 divisors (see below), whose sum is σ = 31066032539520. Its totient is φ = 2672293184512.

The previous prime is 10021200130223. The next prime is 10021200130321. The reversal of 10021200130320 is 2303100212001.

It is a tau number, because it is divible by the number of its divisors (80).

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 10021200130320.

It is not an unprimeable number, because it can be changed into a prime (10021200130321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38837572 + ... + 39094748.

It is an arithmetic number, because the mean of its divisors is an integer number (388325406744).

Almost surely, 2^{10021200130320} is an apocalyptic number.

10021200130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021200130320 is an abundant number, since it is smaller than the sum of its proper divisors (21044832409200).

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

10021200130320 is a wasteful number, since it uses less digits than its factorization.

10021200130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419552 (or 419546 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10021200130320 its reverse (2303100212001), we get a palindrome (12324300342321).

The spelling of 10021200130320 in words is "ten trillion, twenty-one billion, two hundred million, one hundred thirty thousand, three hundred twenty".