10001028970 has 16 divisors (see below), whose sum is σ = 18003216168. Its totient is φ = 4000108480.

The previous prime is 10001028949. The next prime is 10001028977. The reversal of 10001028970 is 7982010001.

10001028970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9833300569 + 167728401 = 99163^2 + 12951^2 .

It is not an unprimeable number, because it can be changed into a prime (10001028977) 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 7 ways as a sum of consecutive naturals, for example, 140832 + ... + 199588.

Almost surely, 2^10001028970 is an apocalyptic number.

10001028970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10001028970 is a deficient number, since it is larger than the sum of its proper divisors (8002187198).

10001028970 is a wasteful number, since it uses less digits than its factorization.

10001028970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75785.

The product of its (nonzero) digits is 1008, while the sum is 28.

Adding to 10001028970 its reverse (7982010001), we get a palindrome (17983038971).

The spelling of 10001028970 in words is "ten billion, one million, twenty-eight thousand, nine hundred seventy".