201112020112122 has 128 divisors (see below), whose sum is σ = 515972995315200. Its totient is φ = 56874534912000.

The previous prime is 201112020112117. The next prime is 201112020112139. The reversal of 201112020112122 is 221211020211102.

201112020112122 is a `hidden beast` number, since 201 + 1 + 120 + 201 + 121 + 22 = 666.

201112020112122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 201112020112095 and 201112020112104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126303372 + ... + 127885752.

It is an arithmetic number, because the mean of its divisors is an integer number (4031039025900).

Almost surely, 2^{201112020112122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112020112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257986497657600).

201112020112122 is an abundant number, since it is smaller than the sum of its proper divisors (314860975203078).

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

201112020112122 is a wasteful number, since it uses less digits than its factorization.

201112020112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585829 (or 1585823 counting only the distinct ones).

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

Adding to 201112020112122 its reverse (221211020211102), we get a palindrome (422323040323224).

The spelling of 201112020112122 in words is "two hundred one trillion, one hundred twelve billion, twenty million, one hundred twelve thousand, one hundred twenty-two".