4102212200 has 96 divisors (see below), whose sum is σ = 10371936600. Its totient is φ = 1502576640.

The previous prime is 4102212199. The next prime is 4102212203. The reversal of 4102212200 is 22122014.

It can be written as a sum of positive squares in 12 ways, for example, as 1740057796 + 2362154404 = 41714^2 + 48602^2 .

It is not an unprimeable number, because it can be changed into a prime (4102212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109496 + ... + 142104.

Almost surely, 2^4102212200 is an apocalyptic number.

4102212200 is a gapful number since it is divisible by the number (40) 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 4102212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185968300).

4102212200 is an abundant number, since it is smaller than the sum of its proper divisors (6269724400).

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

4102212200 is a wasteful number, since it uses less digits than its factorization.

4102212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32679 (or 32670 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4102212200 is about 64048.5144246141. The cubic root of 4102212200 is about 1600.8084716230.

Adding to 4102212200 its reverse (22122014), we get a palindrome (4124334214).

The spelling of 4102212200 in words is "four billion, one hundred two million, two hundred twelve thousand, two hundred".