2002222102122 has 96 divisors (see below), whose sum is σ = 4983503616000. Its totient is φ = 574581561120.

The previous prime is 2002222102081. The next prime is 2002222102129. The reversal of 2002222102122 is 2212012222002.

2002222102122 is a `hidden beast` number, since 20 + 0 + 222 + 210 + 212 + 2 = 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 = 2002222102095 and 2002222102104.

It is not an unprimeable number, because it can be changed into a prime (2002222102129) by changing a digit.

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, 9903079 + ... + 10103237.

It is an arithmetic number, because the mean of its divisors is an integer number (51911496000).

Almost surely, 2^{2002222102122} is an apocalyptic number.

2002222102122 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 2002222102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491751808000).

2002222102122 is an abundant number, since it is smaller than the sum of its proper divisors (2981281513878).

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

2002222102122 is a wasteful number, since it uses less digits than its factorization.

2002222102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202856 (or 202853 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2002222102122 its reverse (2212012222002), we get a palindrome (4214234324124).

The spelling of 2002222102122 in words is "two trillion, two billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty-two".