201200002012002 has 128 divisors (see below), whose sum is σ = 465222518691840. Its totient is φ = 56820182538240.

The previous prime is 201200002011997. The next prime is 201200002012003. The reversal of 201200002012002 is 200210200002102.

It is not an unprimeable number, because it can be changed into a prime (201200002012003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11602551852 + ... + 11602569192.

It is an arithmetic number, because the mean of its divisors is an integer number (3634550927280).

Almost surely, 2^{201200002012002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201200002012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232611259345920).

201200002012002 is an abundant number, since it is smaller than the sum of its proper divisors (264022516679838).

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

201200002012002 is a wasteful number, since it uses less digits than its factorization.

201200002012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20936.

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

Adding to 201200002012002 its reverse (200210200002102), we get a palindrome (401410202014104).

The spelling of 201200002012002 in words is "two hundred one trillion, two hundred billion, two million, twelve thousand, two".