201201002112 has 128 divisors (see below), whose sum is σ = 590406681600. Its totient is φ = 60198128640.

The previous prime is 201201002027. The next prime is 201201002153. The reversal of 201201002112 is 211200102102.

201201002112 is digitally balanced in base 7, 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 (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32223 + ... + 635169.

It is an arithmetic number, because the mean of its divisors is an integer number (4612552200).

Almost surely, 2^201201002112 is an apocalyptic number.

201201002112 is a gapful number since it is divisible by the number (22) 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 201201002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295203340800).

201201002112 is an abundant number, since it is smaller than the sum of its proper divisors (389205679488).

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

201201002112 is a wasteful number, since it uses less digits than its factorization.

201201002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603054 (or 603042 counting only the distinct ones).

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

Adding to 201201002112 its reverse (211200102102), we get a palindrome (412401104214).

The spelling of 201201002112 in words is "two hundred one billion, two hundred one million, two thousand, one hundred twelve".