2002222112202 has 256 divisors, whose sum is σ = 5126913792000. Its totient is φ = 573742891008.

The previous prime is 2002222112141. The next prime is 2002222112203. The reversal of 2002222112202 is 2022112222002.

2002222112202 is a `hidden beast` number, since 200 + 22 + 221 + 1 + 220 + 2 = 666.

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 (2002222112203) 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, 1401134424 + ... + 1401135852.

It is an arithmetic number, because the mean of its divisors is an integer number (20027007000).

Almost surely, 2^{2002222112202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002222112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563456896000).

2002222112202 is an abundant number, since it is smaller than the sum of its proper divisors (3124691679798).

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

2002222112202 is a wasteful number, since it uses less digits than its factorization.

2002222112202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2616 counting only the distinct ones).

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

Adding to 2002222112202 its reverse (2022112222002), we get a palindrome (4024334334204).

The spelling of 2002222112202 in words is "two trillion, two billion, two hundred twenty-two million, one hundred twelve thousand, two hundred two".