212112122002001 has 32 divisors (see below), whose sum is σ = 234385423910400. Its totient is φ = 190729547493120.

The previous prime is 212112122001947. The next prime is 212112122002007. The reversal of 212112122002001 is 100200221211212.

212112122002001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212112122002001 - 2³⁴ = 212094942132817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212112122002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422164391 + ... + 422666531.

It is an arithmetic number, because the mean of its divisors is an integer number (7324544497200).

Almost surely, 2^{212112122002001} is an apocalyptic number.

It is an amenable number.

212112122002001 is a deficient number, since it is larger than the sum of its proper divisors (22273301908399).

212112122002001 is a wasteful number, since it uses less digits than its factorization.

212112122002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505449.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212112122002001 its reverse (100200221211212), we get a palindrome (312312343213213).

The spelling of 212112122002001 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, two thousand, one".