201200221002000 has 640 divisors, whose sum is σ = 722878948786176. Its totient is φ = 47725920000000.

The previous prime is 201200221001977. The next prime is 201200221002007. The reversal of 201200221002000 is 200122002102.

201200221002000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201200221002007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20321197050 + ... + 20321206950.

Almost surely, 2^{201200221002000} is an apocalyptic number.

201200221002000 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 201200221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361439474393088).

201200221002000 is an abundant number, since it is smaller than the sum of its proper divisors (521678727784176).

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

201200221002000 is a wasteful number, since it uses less digits than its factorization.

201200221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16536 (or 16520 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201200221002000 its reverse (200122002102), we get a palindrome (201400343004102).

The spelling of 201200221002000 in words is "two hundred one trillion, two hundred billion, two hundred twenty-one million, two thousand".