212002132121 has 8 divisors (see below), whose sum is σ = 236182747080. Its totient is φ = 188946196992.

The previous prime is 212002132103. The next prime is 212002132123. The reversal of 212002132121 is 121231200212.

212002132121 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 4 ways, for example, as 6389764096 + 205612368025 = 79936^2 + 453445^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212002132121 - 2⁶ = 212002132057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212002132121.

It is not an unprimeable number, because it can be changed into a prime (212002132123) 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 7 ways as a sum of consecutive naturals, for example, 281169560 + ... + 281170313.

It is an arithmetic number, because the mean of its divisors is an integer number (29522843385).

Almost surely, 2^212002132121 is an apocalyptic number.

It is an amenable number.

212002132121 is a deficient number, since it is larger than the sum of its proper divisors (24180614959).

212002132121 is a wasteful number, since it uses less digits than its factorization.

212002132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562339915.

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

Adding to 212002132121 its reverse (121231200212), we get a palindrome (333233332333).

The spelling of 212002132121 in words is "two hundred twelve billion, two million, one hundred thirty-two thousand, one hundred twenty-one".