212201212121001 has 24 divisors (see below), whose sum is σ = 307292641188000. Its totient is φ = 141107644994112.

The previous prime is 212201212120967. The next prime is 212201212121033. The reversal of 212201212121001 is 100121212102212.

212201212121001 is a `hidden beast` number, since 21 + 220 + 1 + 212 + 1 + 210 + 0 + 1 = 666.

It is not a de Polignac number, because 212201212121001 - 2⁹ = 212201212120489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212201212121071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34478790 + ... + 40164528.

It is an arithmetic number, because the mean of its divisors is an integer number (12803860049500).

Almost surely, 2^{212201212121001} is an apocalyptic number.

It is an amenable number.

212201212121001 is a deficient number, since it is larger than the sum of its proper divisors (95091429066999).

212201212121001 is a wasteful number, since it uses less digits than its factorization.

212201212121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5696293 (or 5696290 counting only the distinct ones).

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

Adding to 212201212121001 its reverse (100121212102212), we get a palindrome (312322424223213).

It can be divided in two parts, 21 and 2201212121001, that added together give a palindrome (2201212121022).

The spelling of 212201212121001 in words is "two hundred twelve trillion, two hundred one billion, two hundred twelve million, one hundred twenty-one thousand, one".