201112102010112 has 144 divisors (see below), whose sum is σ = 536235859504128. Its totient is φ = 66914138511360.

The previous prime is 201112102009981. The next prime is 201112102010137. The reversal of 201112102010112 is 211010201211102.

It is a happy number.

201112102010112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201112102010091 and 201112102010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1798944937 + ... + 1799056727.

Almost surely, 2^{201112102010112} 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 201112102010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268117929752064).

201112102010112 is an abundant number, since it is smaller than the sum of its proper divisors (335123757494016).

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

201112102010112 is a wasteful number, since it uses less digits than its factorization.

201112102010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116096 (or 116082 counting only the distinct ones).

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

Adding to 201112102010112 its reverse (211010201211102), we get a palindrome (412122303221214).

The spelling of 201112102010112 in words is "two hundred one trillion, one hundred twelve billion, one hundred two million, ten thousand, one hundred twelve".