10300121330240 has 168 divisors, whose sum is σ = 30033262808640. Its totient is φ = 3345603222528.

The previous prime is 10300121330143. The next prime is 10300121330249. The reversal of 10300121330240 is 4203312100301.

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

It is not an unprimeable number, because it can be changed into a prime (10300121330249) 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 23 ways as a sum of consecutive naturals, for example, 16988804 + ... + 17584643.

It is an arithmetic number, because the mean of its divisors is an integer number (178769421480).

Almost surely, 2^{10300121330240} is an apocalyptic number.

10300121330240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300121330240 is an abundant number, since it is smaller than the sum of its proper divisors (19733141478400).

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

10300121330240 is a wasteful number, since it uses less digits than its factorization.

10300121330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34573497 (or 34573480 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10300121330240 its reverse (4203312100301), we get a palindrome (14503433430541).

The spelling of 10300121330240 in words is "ten trillion, three hundred billion, one hundred twenty-one million, three hundred thirty thousand, two hundred forty".