201100343223000 has 512 divisors, whose sum is σ = 677123977420800. Its totient is φ = 49397209344000.

The previous prime is 201100343222971. The next prime is 201100343223041. The reversal of 201100343223000 is 322343001102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74675209654 + ... + 74675212346.

It is an arithmetic number, because the mean of its divisors is an integer number (1322507768400).

Almost surely, 2^{201100343223000} is an apocalyptic number.

201100343223000 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 201100343223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338561988710400).

201100343223000 is an abundant number, since it is smaller than the sum of its proper divisors (476023634197800).

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

201100343223000 is a wasteful number, since it uses less digits than its factorization.

201100343223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 201100343223000 its reverse (322343001102), we get a palindrome (201422686224102).

The spelling of 201100343223000 in words is "two hundred one trillion, one hundred billion, three hundred forty-three million, two hundred twenty-three thousand".