201022200200000 has 336 divisors, whose sum is σ = 526296780475200. Its totient is φ = 76176313920000.

The previous prime is 201022200199871. The next prime is 201022200200047. The reversal of 201022200200000 is 2002220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1371726731 + ... + 1371873269.

It is an arithmetic number, because the mean of its divisors is an integer number (1566359465700).

Almost surely, 2^{201022200200000} is an apocalyptic number.

201022200200000 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 201022200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263148390237600).

201022200200000 is an abundant number, since it is smaller than the sum of its proper divisors (325274580275200).

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

201022200200000 is an frugal number, since it uses more digits than its factorization.

201022200200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146633 (or 146565 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 201022200200000 its reverse (2002220102), we get a palindrome (201024202420102).

The spelling of 201022200200000 in words is "two hundred one trillion, twenty-two billion, two hundred million, two hundred thousand".