10272371012200 has 144 divisors (see below), whose sum is σ = 26506729398240. Its totient is φ = 3699140649600.

The previous prime is 10272371012179. The next prime is 10272371012207. The reversal of 10272371012200 is 221017327201.

It is not an unprimeable number, because it can be changed into a prime (10272371012207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 432027 + ... + 4553173.

It is an arithmetic number, because the mean of its divisors is an integer number (184074509710).

Almost surely, 2^{10272371012200} is an apocalyptic number.

10272371012200 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 10272371012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13253364699120).

10272371012200 is an abundant number, since it is smaller than the sum of its proper divisors (16234358386040).

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

10272371012200 is a wasteful number, since it uses less digits than its factorization.

10272371012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121288 (or 4121268 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

Adding to 10272371012200 its reverse (221017327201), we get a palindrome (10493388339401).

The spelling of 10272371012200 in words is "ten trillion, two hundred seventy-two billion, three hundred seventy-one million, twelve thousand, two hundred".