201200010100200 has 216 divisors, whose sum is σ = 713131423143750. Its totient is φ = 50829476071680.

The previous prime is 201200010100121. The next prime is 201200010100211. The reversal of 201200010100200 is 2001010002102.

It can be written as a sum of positive squares in 3 ways, for example, as 191632358941956 + 9567651158244 = 13843134^2 + 3093162^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 154167075 + ... + 155466674.

Almost surely, 2^{201200010100200} is an apocalyptic number.

201200010100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200010100200 is an abundant number, since it is smaller than the sum of its proper divisors (511931413043550).

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

201200010100200 is a wasteful number, since it uses less digits than its factorization.

201200010100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309633809 (or 309633778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201200010100200 its reverse (2001010002102), we get a palindrome (203201020102302).

The spelling of 201200010100200 in words is "two hundred one trillion, two hundred billion, ten million, one hundred thousand, two hundred".