201221200202000 has 80 divisors (see below), whose sum is σ = 530784940518144. Its totient is φ = 73171345520000.

The previous prime is 201221200201927. The next prime is 201221200202041. The reversal of 201221200202000 is 202002122102.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4573187096 + ... + 4573231095.

Almost surely, 2^{201221200202000} is an apocalyptic number.

201221200202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221200202000 is an abundant number, since it is smaller than the sum of its proper divisors (329563740316144).

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

201221200202000 is a wasteful number, since it uses less digits than its factorization.

201221200202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146418225 (or 9146418209 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201221200202000 its reverse (202002122102), we get a palindrome (201423202324102).

The spelling of 201221200202000 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred million, two hundred two thousand".