201202221100200 has 384 divisors, whose sum is σ = 661713512803200. Its totient is φ = 50398725242880.

The previous prime is 201202221100187. The next prime is 201202221100241. The reversal of 201202221100200 is 2001122202102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201202221100200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19204177362 + ... + 19204187838.

It is an arithmetic number, because the mean of its divisors is an integer number (1723212272925).

Almost surely, 2^{201202221100200} is an apocalyptic number.

201202221100200 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 201202221100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330856756401600).

201202221100200 is an abundant number, since it is smaller than the sum of its proper divisors (460511291703000).

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

201202221100200 is a wasteful number, since it uses less digits than its factorization.

201202221100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14029 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201202221100200 its reverse (2001122202102), we get a palindrome (203203343302302).

The spelling of 201202221100200 in words is "two hundred one trillion, two hundred two billion, two hundred twenty-one million, one hundred thousand, two hundred".