210212163121 has 27 divisors (see below), whose sum is σ = 226235449611. Its totient is φ = 195294306528.

The previous prime is 210212163079. The next prime is 210212163179. The reversal of 210212163121 is 121361212012.

The square root of 210212163121 is 458489.

It is a perfect power (a square), and thus also a powerful number.

210212163121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 192116532721 + 18095630400 = 438311^2 + 134520^2 .

It is not a de Polignac number, because 210212163121 - 2¹⁷ = 210212032049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210212163092 and 210212163101.

It is not an unprimeable number, because it can be changed into a prime (210212143121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 513965965 + ... + 513966373.

Almost surely, 2^210212163121 is an apocalyptic number.

210212163121 is the 458489-th square number.

210212163121 is the 229245-th centered octagonal number.

It is an amenable number.

210212163121 is a deficient number, since it is larger than the sum of its proper divisors (16023286490).

210212163121 is an frugal number, since it uses more digits than its factorization.

210212163121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 210212163121 its reverse (121361212012), we get a palindrome (331573375133).

The spelling of 210212163121 in words is "two hundred ten billion, two hundred twelve million, one hundred sixty-three thousand, one hundred twenty-one".