210112100 has 72 divisors (see below), whose sum is σ = 500030496. Its totient is φ = 76000000.

The previous prime is 210112081. The next prime is 210112103. The reversal of 210112100 is 1211012.

It is not an unprimeable number, because it can be changed into a prime (210112103) 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 23 ways as a sum of consecutive naturals, for example, 275720 + ... + 276480.

It is an arithmetic number, because the mean of its divisors is an integer number (6944868).

Almost surely, 2^210112100 is an apocalyptic number.

210112100 is a gapful number since it is divisible by the number (20) 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 210112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250015248).

210112100 is an abundant number, since it is smaller than the sum of its proper divisors (289918396).

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

210112100 is a wasteful number, since it uses less digits than its factorization.

210112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 210112100 is about 14495.2440476178. The cubic root of 210112100 is about 594.4979405342.

Adding to 210112100 its reverse (1211012), we get a palindrome (211323112).

The spelling of 210112100 in words is "two hundred ten million, one hundred twelve thousand, one hundred".