212212120102121 has 8 divisors (see below), whose sum is σ = 214392812070024. Its totient is φ = 210032988563200.

The previous prime is 212212120102111. The next prime is 212212120102181. The reversal of 212212120102121 is 121201021212212.

It can be written as a sum of positive squares in 4 ways, for example, as 52981438957225 + 159230681144896 = 7278835^2 + 12618664^2 .

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 212212120102121 - 2²² = 212212115907817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212212120102093 and 212212120102102.

It is not an unprimeable number, because it can be changed into a prime (212212120102111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389833856 + ... + 390377841.

It is an arithmetic number, because the mean of its divisors is an integer number (26799101508753).

Almost surely, 2^{212212120102121} is an apocalyptic number.

It is an amenable number.

212212120102121 is a deficient number, since it is larger than the sum of its proper divisors (2180691967903).

212212120102121 is a wasteful number, since it uses less digits than its factorization.

212212120102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780214491.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212212120102121 its reverse (121201021212212), we get a palindrome (333413141314333).

The spelling of 212212120102121 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred twenty million, one hundred two thousand, one hundred twenty-one".