2100213312200 has 144 divisors (see below), whose sum is σ = 4972896336660. Its totient is φ = 824893632000.

The previous prime is 2100213312179. The next prime is 2100213312247. The reversal of 2100213312200 is 22133120012.

It can be written as a sum of positive squares in 6 ways, for example, as 331999525636 + 1768213786564 = 576194^2 + 1329742^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128539270 + ... + 1128541130.

Almost surely, 2^{2100213312200} is an apocalyptic number.

2100213312200 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 2100213312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486448168330).

2100213312200 is an abundant number, since it is smaller than the sum of its proper divisors (2872683024460).

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

2100213312200 is a wasteful number, since it uses less digits than its factorization.

2100213312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2100213312200 its reverse (22133120012), we get a palindrome (2122346432212).

The spelling of 2100213312200 in words is "two trillion, one hundred billion, two hundred thirteen million, three hundred twelve thousand, two hundred".