4212100 has 36 divisors (see below), whose sum is σ = 9281524. Its totient is φ = 1658880.

The previous prime is 4212097. The next prime is 4212101. The reversal of 4212100 is 12124.

It can be written as a sum of positive squares in 6 ways, for example, as 244036 + 3968064 = 494^2 + 1992^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (4212101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7012 + ... + 7588.

Almost surely, 2^4212100 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 4212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640762).

4212100 is an abundant number, since it is smaller than the sum of its proper divisors (5069424).

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

4212100 is a wasteful number, since it uses less digits than its factorization.

4212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4212100 is about 2052.3401277566. The cubic root of 4212100 is about 161.4976564182.

Adding to 4212100 its reverse (12124), we get a palindrome (4224224).

The spelling of 4212100 in words is "four million, two hundred twelve thousand, one hundred".