211121303121 has 48 divisors (see below), whose sum is σ = 323805081600. Its totient is φ = 137388137040.

The previous prime is 211121303119. The next prime is 211121303147. The reversal of 211121303121 is 121303121112.

211121303121 is a `hidden beast` number, since 211 + 12 + 130 + 312 + 1 = 666.

It is not a de Polignac number, because 211121303121 - 2¹ = 211121303119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211121303094 and 211121303103.

It is not an unprimeable number, because it can be changed into a prime (211121305121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19544680 + ... + 19555478.

It is an arithmetic number, because the mean of its divisors is an integer number (6745939200).

Almost surely, 2^211121303121 is an apocalyptic number.

It is an amenable number.

211121303121 is a deficient number, since it is larger than the sum of its proper divisors (112683778479).

211121303121 is a wasteful number, since it uses less digits than its factorization.

211121303121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12728 (or 12716 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211121303121 its reverse (121303121112), we get a palindrome (332424424233).

It can be divided in two parts, 21112130 and 3121, that added together give a triangular number (21115251 = T₆₄₉₈).

The spelling of 211121303121 in words is "two hundred eleven billion, one hundred twenty-one million, three hundred three thousand, one hundred twenty-one".