201010120002112 has 28 divisors (see below), whose sum is σ = 398881890690300. Its totient is φ = 100504446757376.

The previous prime is 201010120002089. The next prime is 201010120002161. The reversal of 201010120002112 is 211200021010102.

It can be written as a sum of positive squares in 2 ways, for example, as 84538021135936 + 116472098866176 = 9194456^2 + 10792224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201010120002092 and 201010120002101.

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 3 ways as a sum of consecutive naturals, for example, 1081014 + ... + 20079562.

Almost surely, 2^{201010120002112} is an apocalyptic number.

It is an amenable number.

201010120002112 is a deficient number, since it is larger than the sum of its proper divisors (197871770688188).

201010120002112 is a wasteful number, since it uses less digits than its factorization.

201010120002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19163878 (or 19163868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201010120002112 its reverse (211200021010102), we get a palindrome (412210141012214).

The spelling of 201010120002112 in words is "two hundred one trillion, ten billion, one hundred twenty million, two thousand, one hundred twelve".