212112210010001 has 6 divisors (see below), whose sum is σ = 246742774909650. Its totient is φ = 181810465722816.

The previous prime is 212112210009977. The next prime is 212112210010081. The reversal of 212112210010001 is 100010012211212.

212112210010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 199286865610000 + 12825344400001 = 14116900^2 + 3581249^2 .

It is not a de Polignac number, because 212112210010001 - 2²⁶ = 212112142901137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212112210010081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2164410306176 + ... + 2164410306273.

It is an arithmetic number, because the mean of its divisors is an integer number (41123795818275).

Almost surely, 2^{212112210010001} is an apocalyptic number.

It is an amenable number.

212112210010001 is a deficient number, since it is larger than the sum of its proper divisors (34630564899649).

212112210010001 is an equidigital number, since it uses as much as digits as its factorization.

212112210010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328820612463 (or 4328820612456 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212112210010001 its reverse (100010012211212), we get a palindrome (312122222221213).

The spelling of 212112210010001 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred ten million, ten thousand, one".