10100410128 has 160 divisors (see below), whose sum is σ = 30043612800. Its totient is φ = 3246856704.

The previous prime is 10100410123. The next prime is 10100410129. The reversal of 10100410128 is 82101400101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10100410128.

It is not an unprimeable number, because it can be changed into a prime (10100410123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1347126 + ... + 1354602.

It is an arithmetic number, because the mean of its divisors is an integer number (187772580).

Almost surely, 2^10100410128 is an apocalyptic number.

10100410128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100410128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15021806400).

10100410128 is an abundant number, since it is smaller than the sum of its proper divisors (19943202672).

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

10100410128 is a wasteful number, since it uses less digits than its factorization.

10100410128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10100410128 its reverse (82101400101), we get a palindrome (92201810229).

The spelling of 10100410128 in words is "ten billion, one hundred million, four hundred ten thousand, one hundred twenty-eight".