1002222112122 has 256 divisors, whose sum is σ = 2841097420800. Its totient is φ = 254302778880.

The previous prime is 1002222112093. The next prime is 1002222112159. The reversal of 1002222112122 is 2212112222001.

It is a happy number.

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 = 1002222112095 and 1002222112104.

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 127 ways as a sum of consecutive naturals, for example, 111192888 + ... + 111201900.

It is an arithmetic number, because the mean of its divisors is an integer number (11098036800).

Almost surely, 2^{1002222112122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002222112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420548710400).

1002222112122 is an abundant number, since it is smaller than the sum of its proper divisors (1838875308678).

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

1002222112122 is a wasteful number, since it uses less digits than its factorization.

1002222112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9652 counting only the distinct ones).

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

Adding to 1002222112122 its reverse (2212112222001), we get a palindrome (3214334334123).

It can be divided in two parts, 100 and 2222112122, that added together give a palindrome (2222112222).

The spelling of 1002222112122 in words is "one trillion, two billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty-two".