201102220103112 has 192 divisors, whose sum is σ = 577915693056000. Its totient is φ = 62996796600192.

The previous prime is 201102220103023. The next prime is 201102220103189. The reversal of 201102220103112 is 211301022201102.

201102220103112 is a `hidden beast` number, since 20 + 1 + 102 + 220 + 10 + 311 + 2 = 666.

201102220103112 is digitally balanced in base 3, 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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1254120013 + ... + 1254280355.

It is an arithmetic number, because the mean of its divisors is an integer number (3009977568000).

Almost surely, 2^{201102220103112} 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 201102220103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288957846528000).

201102220103112 is an abundant number, since it is smaller than the sum of its proper divisors (376813472952888).

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

201102220103112 is a wasteful number, since it uses less digits than its factorization.

201102220103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167720 (or 167713 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201102220103112 its reverse (211301022201102), we get a palindrome (412403242304214).

The spelling of 201102220103112 in words is "two hundred one trillion, one hundred two billion, two hundred twenty million, one hundred three thousand, one hundred twelve".