201020002202200 has 96 divisors (see below), whose sum is σ = 468607198246560. Its totient is φ = 80195459097600.

The previous prime is 201020002202171. The next prime is 201020002202203. The reversal of 201020002202200 is 2202200020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020002202203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653546445 + ... + 653853955.

It is an arithmetic number, because the mean of its divisors is an integer number (4881324981735).

Almost surely, 2^{201020002202200} is an apocalyptic number.

201020002202200 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 201020002202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234303599123280).

201020002202200 is an abundant number, since it is smaller than the sum of its proper divisors (267587196044360).

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

201020002202200 is a wasteful number, since it uses less digits than its factorization.

201020002202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316157 (or 316148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 201020002202200 its reverse (2202200020102), we get a palindrome (203222202222302).

The spelling of 201020002202200 in words is "two hundred one trillion, twenty billion, two million, two hundred two thousand, two hundred".