201120212010000 has 200 divisors, whose sum is σ = 650955939045280. Its totient is φ = 53490544128000.

The previous prime is 201120212009989. The next prime is 201120212010059. The reversal of 201120212010000 is 10212021102.

201120212010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 39 ways as a sum of consecutive naturals, for example, 2525664 + ... + 20214336.

Almost surely, 2^{201120212010000} is an apocalyptic number.

201120212010000 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 201120212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325477969522640).

201120212010000 is an abundant number, since it is smaller than the sum of its proper divisors (449835727035280).

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

201120212010000 is a wasteful number, since it uses less digits than its factorization.

201120212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17689083 (or 17689062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201120212010000 its reverse (10212021102), we get a palindrome (201130424031102).

The spelling of 201120212010000 in words is "two hundred one trillion, one hundred twenty billion, two hundred twelve million, ten thousand".