212120212100121 has 12 divisors (see below), whose sum is σ = 329964774378148. Its totient is φ = 130535515138464.

The previous prime is 212120212100113. The next prime is 212120212100141. The reversal of 212120212100121 is 121001212021212.

212120212100121 is a `hidden beast` number, since 21 + 212 + 0 + 212 + 100 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145855402397721 + 66264809702400 = 12077061^2 + 8140320^2 .

It is not a de Polignac number, because 212120212100121 - 2³ = 212120212100113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212120212100094 and 212120212100103.

It is not an unprimeable number, because it can be changed into a prime (212120212100141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906496632790 + ... + 906496633023.

Almost surely, 2^{212120212100121} is an apocalyptic number.

It is an amenable number.

212120212100121 is a deficient number, since it is larger than the sum of its proper divisors (117844562278027).

212120212100121 is a wasteful number, since it uses less digits than its factorization.

212120212100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812993265832 (or 1812993265829 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212120212100121 its reverse (121001212021212), we get a palindrome (333121424121333).

The spelling of 212120212100121 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred twelve million, one hundred thousand, one hundred twenty-one".