201222121102002 has 256 divisors, whose sum is σ = 601576704368640. Its totient is φ = 48149142854400.

The previous prime is 201222121102001. The next prime is 201222121102039. The reversal of 201222121102002 is 200201121222102.

It is a happy number.

201222121102002 is a `hidden beast` number, since 20 + 12 + 221 + 211 + 0 + 200 + 2 = 666.

201222121102002 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 not an unprimeable number, because it can be changed into a prime (201222121102001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23488752 + ... + 30889572.

It is an arithmetic number, because the mean of its divisors is an integer number (2349909001440).

Almost surely, 2^{201222121102002} is an apocalyptic number.

201222121102002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201222121102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300788352184320).

201222121102002 is an abundant number, since it is smaller than the sum of its proper divisors (400354583266638).

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

201222121102002 is a wasteful number, since it uses less digits than its factorization.

201222121102002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7401366 (or 7401360 counting only the distinct ones).

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

Adding to 201222121102002 its reverse (200201121222102), we get a palindrome (401423242324104).

The spelling of 201222121102002 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred two thousand, two".