201012021002112 has 128 divisors (see below), whose sum is σ = 568614210003360. Its totient is φ = 62698070802432.

The previous prime is 201012021002057. The next prime is 201012021002113. The reversal of 201012021002112 is 211200120210102.

201012021002112 is digitally balanced in base 2, 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 junction number, because it is equal to n+sod(n) for n = 201012021002091 and 201012021002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012021002113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87865693 + ... + 90124380.

Almost surely, 2^{201012021002112} is an apocalyptic number.

It is an amenable number.

201012021002112 is an abundant number, since it is smaller than the sum of its proper divisors (367602189001248).

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

201012021002112 is a wasteful number, since it uses less digits than its factorization.

201012021002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177990280 (or 177990268 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201012021002112 its reverse (211200120210102), we get a palindrome (412212141212214).

The spelling of 201012021002112 in words is "two hundred one trillion, twelve billion, twenty-one million, two thousand, one hundred twelve".