10128284001 has 48 divisors (see below), whose sum is σ = 16824637440. Its totient is φ = 5806654560.

The previous prime is 10128283993. The next prime is 10128284011. The reversal of 10128284001 is 10048282101.

10128284001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10128284001 - 2³ = 10128283993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10128284011) 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 47 ways as a sum of consecutive naturals, for example, 1393960 + ... + 1401206.

It is an arithmetic number, because the mean of its divisors is an integer number (350513280).

Almost surely, 2^10128284001 is an apocalyptic number.

10128284001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10128284001 is a deficient number, since it is larger than the sum of its proper divisors (6696353439).

10128284001 is a wasteful number, since it uses less digits than its factorization.

10128284001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8026 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 10128284001 in words is "ten billion, one hundred twenty-eight million, two hundred eighty-four thousand, one".