212013223121 has 16 divisors (see below), whose sum is σ = 244681801728. Its totient is φ = 179940301200.

The previous prime is 212013223087. The next prime is 212013223133. The reversal of 212013223121 is 121322310212.

212013223121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212013223121 - 2¹⁸ = 212012960977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212013223093 and 212013223102.

It is not an unprimeable number, because it can be changed into a prime (212013225121) 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 15 ways as a sum of consecutive naturals, for example, 12126416 + ... + 12143886.

It is an arithmetic number, because the mean of its divisors is an integer number (15292612608).

Almost surely, 2^212013223121 is an apocalyptic number.

It is an amenable number.

212013223121 is a deficient number, since it is larger than the sum of its proper divisors (32668578607).

212013223121 is a wasteful number, since it uses less digits than its factorization.

212013223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34412.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212013223121 its reverse (121322310212), we get a palindrome (333335533333).

The spelling of 212013223121 in words is "two hundred twelve billion, thirteen million, two hundred twenty-three thousand, one hundred twenty-one".