212122212012121 has 8 divisors (see below), whose sum is σ = 222676132896000. Its totient is φ = 201800245433520.

The previous prime is 212122212012079. The next prime is 212122212012143. The reversal of 212122212012121 is 121210212221212.

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 212122212012121 - 2⁷ = 212122212011993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212122212012092 and 212122212012101.

It is not an unprimeable number, because it can be changed into a prime (212122212012181) 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, 57988574446 + ... + 57988578103.

It is an arithmetic number, because the mean of its divisors is an integer number (27834516612000).

Almost surely, 2^{212122212012121} is an apocalyptic number.

It is an amenable number.

212122212012121 is a deficient number, since it is larger than the sum of its proper divisors (10553920883879).

212122212012121 is a wasteful number, since it uses less digits than its factorization.

212122212012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115977152639.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 212122212012121 its reverse (121210212221212), we get a palindrome (333332424233333).

The spelling of 212122212012121 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred twelve million, twelve thousand, one hundred twenty-one".