213200122121 has 32 divisors (see below), whose sum is σ = 276861542400. Its totient is φ = 159887407680.

The previous prime is 213200122111. The next prime is 213200122123. The reversal of 213200122121 is 121221002312.

213200122121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-213200122121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213200122121.

It is not an unprimeable number, because it can be changed into a prime (213200122123) 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 31 ways as a sum of consecutive naturals, for example, 1112945 + ... + 1290366.

It is an arithmetic number, because the mean of its divisors is an integer number (8651923200).

Almost surely, 2^213200122121 is an apocalyptic number.

It is an amenable number.

213200122121 is a deficient number, since it is larger than the sum of its proper divisors (63661420279).

213200122121 is a wasteful number, since it uses less digits than its factorization.

213200122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403389.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 213200122121 its reverse (121221002312), we get a palindrome (334421124433).

The spelling of 213200122121 in words is "two hundred thirteen billion, two hundred million, one hundred twenty-two thousand, one hundred twenty-one".