10300041120 has 96 divisors (see below), whose sum is σ = 33199733952. Its totient is φ = 2682796032.

The previous prime is 10300041109. The next prime is 10300041133. The reversal of 10300041120 is 2114000301.

It is a happy number.

10300041120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10300041096 and 10300041105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 228877 + ... + 270156.

It is an arithmetic number, because the mean of its divisors is an integer number (345830562).

Almost surely, 2^10300041120 is an apocalyptic number.

10300041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300041120 is an abundant number, since it is smaller than the sum of its proper divisors (22899692832).

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

10300041120 is a wasteful number, since it uses less digits than its factorization.

10300041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499094 (or 499086 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10300041120 its reverse (2114000301), we get a palindrome (12414041421).

The spelling of 10300041120 in words is "ten billion, three hundred million, forty-one thousand, one hundred twenty".