201020101212112 has 160 divisors (see below), whose sum is σ = 486130698144000. Its totient is φ = 78405581574144.

The previous prime is 201020101212079. The next prime is 201020101212113. The reversal of 201020101212112 is 211212101020102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020101212113) 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, 43002363 + ... + 47447269.

It is an arithmetic number, because the mean of its divisors is an integer number (3038316863400).

Almost surely, 2^{201020101212112} 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 201020101212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243065349072000).

201020101212112 is an abundant number, since it is smaller than the sum of its proper divisors (285110596931888).

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

201020101212112 is a wasteful number, since it uses less digits than its factorization.

201020101212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445373 (or 4445367 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201020101212112 its reverse (211212101020102), we get a palindrome (412232202232214).

The spelling of 201020101212112 in words is "two hundred one trillion, twenty billion, one hundred one million, two hundred twelve thousand, one hundred twelve".