10244242521300 has 144 divisors (see below), whose sum is σ = 29799796440960. Its totient is φ = 2717096693760.

The previous prime is 10244242521287. The next prime is 10244242521307. The reversal of 10244242521300 is 312524244201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244242521307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64158364 + ... + 64317836.

It is an arithmetic number, because the mean of its divisors is an integer number (206943030840).

Almost surely, 2^{10244242521300} is an apocalyptic number.

10244242521300 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 10244242521300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14899898220480).

10244242521300 is an abundant number, since it is smaller than the sum of its proper divisors (19555553919660).

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

10244242521300 is a wasteful number, since it uses less digits than its factorization.

10244242521300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160642 (or 160635 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10244242521300 its reverse (312524244201), we get a palindrome (10556766765501).

The spelling of 10244242521300 in words is "ten trillion, two hundred forty-four billion, two hundred forty-two million, five hundred twenty-one thousand, three hundred".