2112201100212 has 192 divisors, whose sum is σ = 5912923484160. Its totient is φ = 573767276544.

The previous prime is 2112201100127. The next prime is 2112201100279. The reversal of 2112201100212 is 2120011022112.

It is a super-2 number, since 2×2112201100212² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112201100191 and 2112201100200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543119964 + ... + 543123852.

It is an arithmetic number, because the mean of its divisors is an integer number (30796476480).

Almost surely, 2^{2112201100212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112201100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956461742080).

2112201100212 is an abundant number, since it is smaller than the sum of its proper divisors (3800722383948).

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

2112201100212 is a wasteful number, since it uses less digits than its factorization.

2112201100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2112201100212 its reverse (2120011022112), we get a palindrome (4232212122324).

The spelling of 2112201100212 in words is "two trillion, one hundred twelve billion, two hundred one million, one hundred thousand, two hundred twelve".