211011121121 has 8 divisors (see below), whose sum is σ = 213132250944. Its totient is φ = 208890617200.

The previous prime is 211011121117. The next prime is 211011121169. The reversal of 211011121121 is 121121110112.

211011121121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 211011121121 - 2² = 211011121117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211011121096 and 211011121105.

It is not an unprimeable number, because it can be changed into a prime (211011121721) 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 7 ways as a sum of consecutive naturals, for example, 536516 + ... + 842538.

It is an arithmetic number, because the mean of its divisors is an integer number (26641531368).

Almost surely, 2^211011121121 is an apocalyptic number.

It is an amenable number.

211011121121 is a deficient number, since it is larger than the sum of its proper divisors (2121129823).

211011121121 is a wasteful number, since it uses less digits than its factorization.

211011121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312951.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211011121121 its reverse (121121110112), we get a palindrome (332132231233).

The spelling of 211011121121 in words is "two hundred eleven billion, eleven million, one hundred twenty-one thousand, one hundred twenty-one".