211121002121 has 16 divisors (see below), whose sum is σ = 216751191360. Its totient is φ = 205524345600.

The previous prime is 211121002097. The next prime is 211121002123. The reversal of 211121002121 is 121200121112.

211121002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211121002121 - 2¹⁴ = 211120985737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211121002096 and 211121002105.

It is not an unprimeable number, because it can be changed into a prime (211121002123) 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 15 ways as a sum of consecutive naturals, for example, 29347301 + ... + 29354493.

It is an arithmetic number, because the mean of its divisors is an integer number (13546949460).

Almost surely, 2^211121002121 is an apocalyptic number.

It is an amenable number.

211121002121 is a deficient number, since it is larger than the sum of its proper divisors (5630189239).

211121002121 is a wasteful number, since it uses less digits than its factorization.

211121002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9416.

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

Adding to 211121002121 its reverse (121200121112), we get a palindrome (332321123233).

The spelling of 211121002121 in words is "two hundred eleven billion, one hundred twenty-one million, two thousand, one hundred twenty-one".