212101111211121 has 96 divisors (see below), whose sum is σ = 354414131406720. Its totient is φ = 124325716752000.

The previous prime is 212101111211071. The next prime is 212101111211167. The reversal of 212101111211121 is 121112111101212.

212101111211121 is a `hidden beast` number, since 212 + 10 + 1 + 111 + 211 + 121 = 666.

212101111211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212101111211121 - 2¹⁴ = 212101111194737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212101111211094 and 212101111211103.

It is not an unprimeable number, because it can be changed into a prime (212101111211021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482991511 + ... + 483430451.

It is an arithmetic number, because the mean of its divisors is an integer number (3691813868820).

Almost surely, 2^{212101111211121} is an apocalyptic number.

It is an amenable number.

212101111211121 is a deficient number, since it is larger than the sum of its proper divisors (142313020195599).

212101111211121 is a wasteful number, since it uses less digits than its factorization.

212101111211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440716 (or 440679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 212101111211121 its reverse (121112111101212), we get a palindrome (333213222312333).

The spelling of 212101111211121 in words is "two hundred twelve trillion, one hundred one billion, one hundred eleven million, two hundred eleven thousand, one hundred twenty-one".