100001020128 has 24 divisors (see below), whose sum is σ = 262502678088. Its totient is φ = 33333673344.

The previous prime is 100001020127. The next prime is 100001020139. The reversal of 100001020128 is 821020100001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×100001020128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001020121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520838551 + ... + 520838742.

It is an arithmetic number, because the mean of its divisors is an integer number (10937611587).

Almost surely, 2^100001020128 is an apocalyptic number.

It is an amenable number.

100001020128 is an abundant number, since it is smaller than the sum of its proper divisors (162501657960).

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

100001020128 is a wasteful number, since it uses less digits than its factorization.

100001020128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041677306 (or 1041677298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100001020128 its reverse (821020100001), we get a palindrome (921021120129).

The spelling of 100001020128 in words is "one hundred billion, one million, twenty thousand, one hundred twenty-eight".