212004100 has 108 divisors (see below), whose sum is σ = 578143552. Its totient is φ = 66052800.

The previous prime is 212004047. The next prime is 212004101. The reversal of 212004100 is 1400212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212004101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83449 + ... + 85951.

Almost surely, 2^212004100 is an apocalyptic number.

212004100 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 212004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289071776).

212004100 is an abundant number, since it is smaller than the sum of its proper divisors (366139452).

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

212004100 is a wasteful number, since it uses less digits than its factorization.

212004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2528 counting only the distinct ones).

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

The square root of 212004100 is about 14560.3605724584. The cubic root of 212004100 is about 596.2770396491.

Adding to 212004100 its reverse (1400212), we get a palindrome (213404312).

The spelling of 212004100 in words is "two hundred twelve million, four thousand, one hundred".