214100112 has 80 divisors (see below), whose sum is σ = 565678080. Its totient is φ = 69763200.

The previous prime is 214100101. The next prime is 214100141. The reversal of 214100112 is 211001412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 496537 + ... + 496967.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 2^214100112 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 214100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282839040).

214100112 is an abundant number, since it is smaller than the sum of its proper divisors (351577968).

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

214100112 is a wasteful number, since it uses less digits than its factorization.

214100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 214100112 is about 14632.1601959519. The cubic root of 214100112 is about 598.2356613785.

Adding to 214100112 its reverse (211001412), we get a palindrome (425101524).

The spelling of 214100112 in words is "two hundred fourteen million, one hundred thousand, one hundred twelve".