201143130102200 has 288 divisors, whose sum is σ = 555784083323280. Its totient is φ = 67247558400000.

The previous prime is 201143130102193. The next prime is 201143130102209. The reversal of 201143130102200 is 2201031341102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201143130102209) 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, 77690972 + ... + 80238228.

Almost surely, 2^{201143130102200} is an apocalyptic number.

201143130102200 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 201143130102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277892041661640).

201143130102200 is an abundant number, since it is smaller than the sum of its proper divisors (354640953221080).

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

201143130102200 is a wasteful number, since it uses less digits than its factorization.

201143130102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547559 (or 2547539 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201143130102200 its reverse (2201031341102), we get a palindrome (203344161443302).

The spelling of 201143130102200 in words is "two hundred one trillion, one hundred forty-three billion, one hundred thirty million, one hundred two thousand, two hundred".