112022201020002 has 256 divisors, whose sum is σ = 285193720627200. Its totient is φ = 28535914414080.

The previous prime is 112022201019961. The next prime is 112022201020061. The reversal of 112022201020002 is 200020102220211.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36382655499 + ... + 36382658577.

It is an arithmetic number, because the mean of its divisors is an integer number (1114037971200).

Almost surely, 2^{112022201020002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022201020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142596860313600).

112022201020002 is an abundant number, since it is smaller than the sum of its proper divisors (173171519607198).

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

112022201020002 is a wasteful number, since it uses less digits than its factorization.

112022201020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 112022201020002 its reverse (200020102220211), we get a palindrome (312042303240213).

The spelling of 112022201020002 in words is "one hundred twelve trillion, twenty-two billion, two hundred one million, twenty thousand, two".