212121112001 has 4 divisors (see below), whose sum is σ = 212150188932. Its totient is φ = 212092035072.

The previous prime is 212121111947. The next prime is 212121112013. The reversal of 212121112001 is 100211121212.

212121112001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 36183648400 + 175937463601 = 190220^2 + 419449^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121112001 - 2³⁴ = 194941242817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212121112061) 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 3 ways as a sum of consecutive naturals, for example, 14527520 + ... + 14542113.

It is an arithmetic number, because the mean of its divisors is an integer number (53037547233).

Almost surely, 2^212121112001 is an apocalyptic number.

It is an amenable number.

212121112001 is a deficient number, since it is larger than the sum of its proper divisors (29076931).

212121112001 is an equidigital number, since it uses as much as digits as its factorization.

212121112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29076930.

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

Adding to 212121112001 its reverse (100211121212), we get a palindrome (312332233213).

The spelling of 212121112001 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, one".