201021221012112 has 80 divisors (see below), whose sum is σ = 577618540940160. Its totient is φ = 66935865168000.

The previous prime is 201021221012111. The next prime is 201021221012167. The reversal of 201021221012112 is 211210122120102.

201021221012112 is a `hidden beast` number, since 20 + 10 + 212 + 210 + 1 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201021221012111) 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, 246844764 + ... + 247657787.

It is an arithmetic number, because the mean of its divisors is an integer number (7220231761752).

Almost surely, 2^{201021221012112} is an apocalyptic number.

It is an amenable number.

201021221012112 is an abundant number, since it is smaller than the sum of its proper divisors (376597319928048).

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

201021221012112 is a wasteful number, since it uses less digits than its factorization.

201021221012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494503509 (or 494503497 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201021221012112 its reverse (211210122120102), we get a palindrome (412231343132214).

The spelling of 201021221012112 in words is "two hundred one trillion, twenty-one billion, two hundred twenty-one million, twelve thousand, one hundred twelve".