10001220128 has 24 divisors (see below), whose sum is σ = 19697137740. Its totient is φ = 4998772480.

The previous prime is 10001220121. The next prime is 10001220143. The reversal of 10001220128 is 82102210001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9083614864 + 917605264 = 95308^2 + 30292^2 .

It is a super-3 number, since 3×10001220128³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33218 + ... + 145278.

Almost surely, 2^10001220128 is an apocalyptic number.

It is an amenable number.

10001220128 is a deficient number, since it is larger than the sum of its proper divisors (9695917612).

10001220128 is a wasteful number, since it uses less digits than its factorization.

10001220128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114860 (or 114852 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10001220128 its reverse (82102210001), we get a palindrome (92103430129).

The spelling of 10001220128 in words is "ten billion, one million, two hundred twenty thousand, one hundred twenty-eight".