201110200200000 has 3024 divisors, whose sum is σ = 923836343189760. Its totient is φ = 41435089920000.

The previous prime is 201110200199999. The next prime is 201110200200001. The reversal of 201110200200000 is 2002011102.

201110200200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201110200199999) and next prime (201110200200001).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201110200200001) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 49303797961 + ... + 49303802039.

It is an arithmetic number, because the mean of its divisors is an integer number (305501436240).

Almost surely, 2^{201110200200000} is an apocalyptic number.

201110200200000 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 201110200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461918171594880).

201110200200000 is an abundant number, since it is smaller than the sum of its proper divisors (722726142989760).

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

201110200200000 is a wasteful number, since it uses less digits than its factorization.

201110200200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201110200200000 its reverse (2002011102), we get a palindrome (201112202211102).

The spelling of 201110200200000 in words is "two hundred one trillion, one hundred ten billion, two hundred million, two hundred thousand".