212122101002121 has 48 divisors (see below), whose sum is σ = 311098218961920. Its totient is φ = 139262421972960.

The previous prime is 212122101002107. The next prime is 212122101002131. The reversal of 212122101002121 is 121200101221212.

212122101002121 is a `hidden beast` number, since 21 + 212 + 210 + 10 + 0 + 212 + 1 = 666.

212122101002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-212122101002121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212122101002094 and 212122101002103.

It is not an unprimeable number, because it can be changed into a prime (212122101002131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180171756 + ... + 181345266.

It is an arithmetic number, because the mean of its divisors is an integer number (6481212895040).

Almost surely, 2^{212122101002121} is an apocalyptic number.

It is an amenable number.

212122101002121 is a deficient number, since it is larger than the sum of its proper divisors (98976117959799).

212122101002121 is a wasteful number, since it uses less digits than its factorization.

212122101002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174706 (or 1174703 counting only the distinct ones).

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

Adding to 212122101002121 its reverse (121200101221212), we get a palindrome (333322202223333).

The spelling of 212122101002121 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred one million, two thousand, one hundred twenty-one".