201000300002112 has 224 divisors, whose sum is σ = 573145779548160. Its totient is φ = 61800505620480.

The previous prime is 201000300002087. The next prime is 201000300002189. The reversal of 201000300002112 is 211200003000102.

201000300002112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201000300002112² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35195286937 + ... + 35195292647.

It is an arithmetic number, because the mean of its divisors is an integer number (2558686515840).

Almost surely, 2^{201000300002112} 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 201000300002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286572889774080).

201000300002112 is an abundant number, since it is smaller than the sum of its proper divisors (372145479546048).

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

201000300002112 is a wasteful number, since it uses less digits than its factorization.

201000300002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13701 (or 13691 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201000300002112 its reverse (211200003000102), we get a palindrome (412200303002214).

The spelling of 201000300002112 in words is "two hundred one trillion, three hundred million, two thousand, one hundred twelve".