200200331132100 has 432 divisors, whose sum is σ = 678615669098640. Its totient is φ = 49073946624000.

The previous prime is 200200331132093. The next prime is 200200331132117. The reversal of 200200331132100 is 1231133002002.

200200331132100 is a `hidden beast` number, since 2 + 0 + 0 + 200 + 331 + 1 + 32 + 100 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 181417624586496 + 18782706545604 = 13469136^2 + 4333902^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13257414550 + ... + 13257429650.

It is an arithmetic number, because the mean of its divisors is an integer number (1570869604395).

Almost surely, 2^{200200331132100} is an apocalyptic number.

200200331132100 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 200200331132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339307834549320).

200200331132100 is an abundant number, since it is smaller than the sum of its proper divisors (478415337966540).

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

200200331132100 is a wasteful number, since it uses less digits than its factorization.

200200331132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19800 (or 19790 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200200331132100 its reverse (1231133002002), we get a palindrome (201431464134102).

The spelling of 200200331132100 in words is "two hundred trillion, two hundred billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred".