201122001102222 has 256 divisors, whose sum is σ = 472214527488000. Its totient is φ = 63362767104000.

The previous prime is 201122001102199. The next prime is 201122001102223. The reversal of 201122001102222 is 222201100221102.

It is a happy number.

201122001102222 is a `hidden beast` number, since 20 + 112 + 200 + 110 + 2 + 222 = 666.

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 = 201122001102195 and 201122001102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122001102223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19464042168 + ... + 19464052500.

It is an arithmetic number, because the mean of its divisors is an integer number (1844587998000).

Almost surely, 2^{201122001102222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201122001102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236107263744000).

201122001102222 is an abundant number, since it is smaller than the sum of its proper divisors (271092526385778).

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

201122001102222 is a wasteful number, since it uses less digits than its factorization.

201122001102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11784 (or 11778 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201122001102222 its reverse (222201100221102), we get a palindrome (423323101323324).

The spelling of 201122001102222 in words is "two hundred one trillion, one hundred twenty-two billion, one million, one hundred two thousand, two hundred twenty-two".