2121100212211 has 8 divisors (see below), whose sum is σ = 2213659977984. Its totient is φ = 2028568614600.

The previous prime is 2121100212193. The next prime is 2121100212227. The reversal of 2121100212211 is 1122120011212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2121100212211 - 2³⁵ = 2086740473843 is a prime.

It is a super-2 number, since 2×2121100212211² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121100212281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6888081 + ... + 7189426.

It is an arithmetic number, because the mean of its divisors is an integer number (276707497248).

Almost surely, 2^{2121100212211} is an apocalyptic number.

2121100212211 is a deficient number, since it is larger than the sum of its proper divisors (92559765773).

2121100212211 is a wasteful number, since it uses less digits than its factorization.

2121100212211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14084081.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121100212211 its reverse (1122120011212), we get a palindrome (3243220223423).

The spelling of 2121100212211 in words is "two trillion, one hundred twenty-one billion, one hundred million, two hundred twelve thousand, two hundred eleven".