2120212102212 has 84 divisors (see below), whose sum is σ = 5574075454080. Its totient is φ = 705331834992.

The previous prime is 2120212102189. The next prime is 2120212102223. The reversal of 2120212102212 is 2122012120212.

It is a happy number.

2120212102212 is a `hidden beast` number, since 212 + 0 + 21 + 210 + 221 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 743989 + ... + 2189507.

It is an arithmetic number, because the mean of its divisors is an integer number (66358041120).

Almost surely, 2^{2120212102212} 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 2120212102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787037727040).

2120212102212 is an abundant number, since it is smaller than the sum of its proper divisors (3453863351868).

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

2120212102212 is a wasteful number, since it uses less digits than its factorization.

2120212102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446044 (or 1446027 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120212102212 its reverse (2122012120212), we get a palindrome (4242224222424).

The spelling of 2120212102212 in words is "two trillion, one hundred twenty billion, two hundred twelve million, one hundred two thousand, two hundred twelve".