212002101112120 has 64 divisors (see below), whose sum is σ = 528135492124800. Its totient is φ = 75941051134080.

The previous prime is 212002101112097. The next prime is 212002101112163. The reversal of 212002101112120 is 21211101200212.

It is a junction number, because it is equal to n+sod(n) for n = 212002101112094 and 212002101112103.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3595664230 + ... + 3595723189.

It is an arithmetic number, because the mean of its divisors is an integer number (8252117064450).

Almost surely, 2^{212002101112120} is an apocalyptic number.

212002101112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002101112120 is an abundant number, since it is smaller than the sum of its proper divisors (316133391012680).

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

212002101112120 is a wasteful number, since it uses less digits than its factorization.

212002101112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7191387508 (or 7191387504 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212002101112120 its reverse (21211101200212), we get a palindrome (233213202312332).

The spelling of 212002101112120 in words is "two hundred twelve trillion, two billion, one hundred one million, one hundred twelve thousand, one hundred twenty".