201021110012112 has 160 divisors (see below), whose sum is σ = 570255645052800. Its totient is φ = 60637404112896.

The previous prime is 201021110012027. The next prime is 201021110012113. The reversal of 201021110012112 is 211210011120102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201021110012091 and 201021110012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201021110012113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39223714 + ... + 44051582.

It is an arithmetic number, because the mean of its divisors is an integer number (3564097781580).

Almost surely, 2^{201021110012112} 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 201021110012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285127822526400).

201021110012112 is an abundant number, since it is smaller than the sum of its proper divisors (369234535040688).

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

201021110012112 is a wasteful number, since it uses less digits than its factorization.

201021110012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829205 (or 4829199 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201021110012112 its reverse (211210011120102), we get a palindrome (412231121132214).

The spelling of 201021110012112 in words is "two hundred one trillion, twenty-one billion, one hundred ten million, twelve thousand, one hundred twelve".