10130120224 has 48 divisors (see below), whose sum is σ = 22803234048. Its totient is φ = 4339487232.

The previous prime is 10130120219. The next prime is 10130120249. The reversal of 10130120224 is 42202103101.

10130120224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10130120198 and 10130120207.

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 7 ways as a sum of consecutive naturals, for example, 544809 + ... + 563095.

It is an arithmetic number, because the mean of its divisors is an integer number (475067376).

Almost surely, 2^10130120224 is an apocalyptic number.

10130120224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10130120224 is an abundant number, since it is smaller than the sum of its proper divisors (12673113824).

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

10130120224 is a wasteful number, since it uses less digits than its factorization.

10130120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20777 (or 20769 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10130120224 its reverse (42202103101), we get a palindrome (52332223325).

The spelling of 10130120224 in words is "ten billion, one hundred thirty million, one hundred twenty thousand, two hundred twenty-four".