2212100002120 has 64 divisors (see below), whose sum is σ = 5001750129600. Its totient is φ = 880490392320.

The previous prime is 2212100002097. The next prime is 2212100002127. The reversal of 2212100002120 is 212000012122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2212100002120.

It is not an unprimeable number, because it can be changed into a prime (2212100002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6652786 + ... + 6977374.

It is an arithmetic number, because the mean of its divisors is an integer number (78152345775).

Almost surely, 2^{2212100002120} is an apocalyptic number.

2212100002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212100002120 is an abundant number, since it is smaller than the sum of its proper divisors (2789650127480).

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

2212100002120 is a wasteful number, since it uses less digits than its factorization.

2212100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325438 (or 325434 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2212100002120 its reverse (212000012122), we get a palindrome (2424100014242).

The spelling of 2212100002120 in words is "two trillion, two hundred twelve billion, one hundred million, two thousand, one hundred twenty".