10000220128 has 48 divisors (see below), whose sum is σ = 20198082240. Its totient is φ = 4870912000.

The previous prime is 10000220123. The next prime is 10000220129. The reversal of 10000220128 is 82102200001.

10000220128 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000220123) 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, 938028 + ... + 948628.

It is an arithmetic number, because the mean of its divisors is an integer number (420793380).

Almost surely, 2^10000220128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099041120).

10000220128 is an abundant number, since it is smaller than the sum of its proper divisors (10197862112).

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

10000220128 is a wasteful number, since it uses less digits than its factorization.

10000220128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11371 (or 11363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10000220128 its reverse (82102200001), we get a palindrome (92102420129).

The spelling of 10000220128 in words is "ten billion, two hundred twenty thousand, one hundred twenty-eight".