2121131320200 has 288 divisors, whose sum is σ = 7617182681160. Its totient is φ = 527090688000.

The previous prime is 2121131320199. The next prime is 2121131320201. The reversal of 2121131320200 is 20231311212.

2121131320200 is a `hidden beast` number, since 2 + 12 + 1 + 131 + 320 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (2121131320199) and next prime (2121131320201).

It can be written as a sum of positive squares in 12 ways, for example, as 762055669764 + 1359075650436 = 872958^2 + 1165794^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2121131320201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2747442 + ... + 3433758.

Almost surely, 2^{2121131320200} is an apocalyptic number.

2121131320200 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 2121131320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808591340580).

2121131320200 is an abundant number, since it is smaller than the sum of its proper divisors (5496051360960).

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

2121131320200 is a wasteful number, since it uses less digits than its factorization.

2121131320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686457 (or 686445 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121131320200 its reverse (20231311212), we get a palindrome (2141362631412).

The spelling of 2121131320200 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred twenty thousand, two hundred".