212112202001 has 48 divisors (see below), whose sum is σ = 269932950144. Its totient is φ = 165510729216.

The previous prime is 212112201991. The next prime is 212112202031. The reversal of 212112202001 is 100202211212.

212112202001 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-212112202001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212112202031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3660611 + ... + 3718103.

It is an arithmetic number, because the mean of its divisors is an integer number (5623603128).

Almost surely, 2^212112202001 is an apocalyptic number.

It is an amenable number.

212112202001 is a deficient number, since it is larger than the sum of its proper divisors (57820748143).

212112202001 is a wasteful number, since it uses less digits than its factorization.

212112202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57670 (or 57663 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212112202001 its reverse (100202211212), we get a palindrome (312314413213).

The spelling of 212112202001 in words is "two hundred twelve billion, one hundred twelve million, two hundred two thousand, one".