210100128 has 96 divisors (see below), whose sum is σ = 652095360. Its totient is φ = 57953280.

The previous prime is 210100123. The next prime is 210100129. The reversal of 210100128 is 821001012.

210100128 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (210100123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14098 + ... + 24878.

It is an arithmetic number, because the mean of its divisors is an integer number (6792660).

Almost surely, 2^210100128 is an apocalyptic number.

210100128 is a gapful number since it is divisible by the number (28) 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 210100128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326047680).

210100128 is an abundant number, since it is smaller than the sum of its proper divisors (441995232).

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

210100128 is a wasteful number, since it uses less digits than its factorization.

210100128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10830 (or 10822 counting only the distinct ones).

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

The square root of 210100128 is about 14494.8310786984. The cubic root of 210100128 is about 594.4866489990.

The spelling of 210100128 in words is "two hundred ten million, one hundred thousand, one hundred twenty-eight".