10005480121 has 16 divisors (see below), whose sum is σ = 12329492224. Its totient is φ = 7906745664.

The previous prime is 10005480109. The next prime is 10005480143. The reversal of 10005480121 is 12108450001.

10005480121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10005480121 - 2¹¹ = 10005478073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10005480092 and 10005480101.

It is not an unprimeable number, because it can be changed into a prime (10005480151) by changing a digit.

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, 8095 + ... + 141691.

It is an arithmetic number, because the mean of its divisors is an integer number (770593264).

Almost surely, 2^10005480121 is an apocalyptic number.

It is an amenable number.

10005480121 is a deficient number, since it is larger than the sum of its proper divisors (2324012103).

10005480121 is a wasteful number, since it uses less digits than its factorization.

10005480121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134440.

The product of its (nonzero) digits is 320, while the sum is 22.

The spelling of 10005480121 in words is "ten billion, five million, four hundred eighty thousand, one hundred twenty-one".