10212212102120 has 384 divisors, whose sum is σ = 28274552323200. Its totient is φ = 3300728610816.

The previous prime is 10212212102069. The next prime is 10212212102153. The reversal of 10212212102120 is 2120121221201.

10212212102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9309217412 + ... + 9309218508.

It is an arithmetic number, because the mean of its divisors is an integer number (73631646675).

Almost surely, 2^{10212212102120} is an apocalyptic number.

10212212102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212212102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137276161600).

10212212102120 is an abundant number, since it is smaller than the sum of its proper divisors (18062340221080).

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

10212212102120 is a wasteful number, since it uses less digits than its factorization.

10212212102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10212212102120 its reverse (2120121221201), we get a palindrome (12332333323321).

The spelling of 10212212102120 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, one hundred two thousand, one hundred twenty".