201000201010112 has 112 divisors (see below), whose sum is σ = 463849118853120. Its totient is φ = 84631144645632.

The previous prime is 201000201010111. The next prime is 201000201010123. The reversal of 201000201010112 is 211010102000102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×201000201010112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201000201010093 and 201000201010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000201010111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40946513 + ... + 45591855.

It is an arithmetic number, because the mean of its divisors is an integer number (4141509989760).

Almost surely, 2^{201000201010112} 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 201000201010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231924559426560).

201000201010112 is an abundant number, since it is smaller than the sum of its proper divisors (262848917843008).

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

201000201010112 is a wasteful number, since it uses less digits than its factorization.

201000201010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647058 (or 4647048 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201000201010112 its reverse (211010102000102), we get a palindrome (412010303010214).

The spelling of 201000201010112 in words is "two hundred one trillion, two hundred one million, ten thousand, one hundred twelve".