2112210322002 has 80 divisors (see below), whose sum is σ = 5169071932992. Its totient is φ = 639333427680.

The previous prime is 2112210321961. The next prime is 2112210322037. The reversal of 2112210322002 is 2002230122112.

2112210322002 is a `hidden beast` number, since 211 + 221 + 0 + 32 + 200 + 2 = 666.

It is a super-3 number, since 3×2112210322002³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 887043 + ... + 2238585.

Almost surely, 2^{2112210322002} is an apocalyptic number.

2112210322002 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 2112210322002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584535966496).

2112210322002 is an abundant number, since it is smaller than the sum of its proper divisors (3056861610990).

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

2112210322002 is a wasteful number, since it uses less digits than its factorization.

2112210322002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352445 (or 1352436 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2112210322002 its reverse (2002230122112), we get a palindrome (4114440444114).

The spelling of 2112210322002 in words is "two trillion, one hundred twelve billion, two hundred ten million, three hundred twenty-two thousand, two".