221102012201112 has 192 divisors, whose sum is σ = 714497228928000. Its totient is φ = 63167409893952.

The previous prime is 221102012201107. The next prime is 221102012201183. The reversal of 221102012201112 is 211102210201122.

221102012201112 is a `hidden beast` number, since 22 + 110 + 201 + 220 + 1 + 112 = 666.

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

It is a congruent number.

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, 146142753 + ... + 147647919.

It is an arithmetic number, because the mean of its divisors is an integer number (3721339734000).

Almost surely, 2^{221102012201112} 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 221102012201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357248614464000).

221102012201112 is an abundant number, since it is smaller than the sum of its proper divisors (493395216726888).

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

221102012201112 is a wasteful number, since it uses less digits than its factorization.

221102012201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519075 (or 1519058 counting only the distinct ones).

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

Adding to 221102012201112 its reverse (211102210201122), we get a palindrome (432204222402234).

The spelling of 221102012201112 in words is "two hundred twenty-one trillion, one hundred two billion, twelve million, two hundred one thousand, one hundred twelve".