201000200012112 has 160 divisors (see below), whose sum is σ = 540493262467200. Its totient is φ = 64287839379456.

The previous prime is 201000200012081. The next prime is 201000200012153. The reversal of 201000200012112 is 211210002000102.

201000200012112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3864693564 + ... + 3864745572.

It is an arithmetic number, because the mean of its divisors is an integer number (3378082890420).

Almost surely, 2^{201000200012112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000200012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270246631233600).

201000200012112 is an abundant number, since it is smaller than the sum of its proper divisors (339493062455088).

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

201000200012112 is a wasteful number, since it uses less digits than its factorization.

201000200012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69245 (or 69239 counting only the distinct ones).

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

Adding to 201000200012112 its reverse (211210002000102), we get a palindrome (412210202012214).

The spelling of 201000200012112 in words is "two hundred one trillion, two hundred million, twelve thousand, one hundred twelve".