212121201112001 has 16 divisors (see below), whose sum is σ = 216683189544528. Its totient is φ = 207596042649600.

The previous prime is 212121201111997. The next prime is 212121201112027. The reversal of 212121201112001 is 100211102121212.

It can be written as a sum of positive squares in 8 ways, for example, as 107915535025 + 212013285576976 = 328505^2 + 14560676^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121201112001 - 2² = 212121201111997 is a prime.

It is a super-2 number, since 2×212121201112001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212121201112061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6132251 + ... + 21490623.

It is an arithmetic number, because the mean of its divisors is an integer number (13542699346533).

Almost surely, 2^{212121201112001} is an apocalyptic number.

It is an amenable number.

212121201112001 is a deficient number, since it is larger than the sum of its proper divisors (4561988432527).

212121201112001 is a wasteful number, since it uses less digits than its factorization.

212121201112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15359572.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212121201112001 its reverse (100211102121212), we get a palindrome (312332303233213).

The spelling of 212121201112001 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred one million, one hundred twelve thousand, one".