2114202132200 has 96 divisors (see below), whose sum is σ = 5101271098200. Its totient is φ = 813910056960.

The previous prime is 2114202132199. The next prime is 2114202132209. The reversal of 2114202132200 is 22312024112.

It can be written as a sum of positive squares in 12 ways, for example, as 8864975716 + 2105337156484 = 94154^2 + 1450978^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2114202132209) 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, 1233104 + ... + 2397696.

Almost surely, 2^{2114202132200} is an apocalyptic number.

2114202132200 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 2114202132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550635549100).

2114202132200 is an abundant number, since it is smaller than the sum of its proper divisors (2987068966000).

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

2114202132200 is a wasteful number, since it uses less digits than its factorization.

2114202132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164951 (or 1164942 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2114202132200 its reverse (22312024112), we get a palindrome (2136514156312).

The spelling of 2114202132200 in words is "two trillion, one hundred fourteen billion, two hundred two million, one hundred thirty-two thousand, two hundred".