200101131132300 has 288 divisors, whose sum is σ = 645359142704640. Its totient is φ = 53188696915200.

The previous prime is 200101131132299. The next prime is 200101131132319. The reversal of 200101131132300 is 3231131101002.

200101131132300 is a `hidden beast` number, since 2 + 0 + 0 + 10 + 11 + 311 + 32 + 300 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1550974795 + ... + 1551103805.

Almost surely, 2^{200101131132300} is an apocalyptic number.

200101131132300 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 200101131132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322679571352320).

200101131132300 is an abundant number, since it is smaller than the sum of its proper divisors (445258011572340).

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

200101131132300 is a wasteful number, since it uses less digits than its factorization.

200101131132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130878 (or 130865 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 200101131132300 its reverse (3231131101002), we get a palindrome (203332262233302).

The spelling of 200101131132300 in words is "two hundred trillion, one hundred one billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred".