211112121 has 24 divisors (see below), whose sum is σ = 315663264. Its totient is φ = 124462080.

The previous prime is 211112117. The next prime is 211112129. The reversal of 211112121 is 121211112.

It is not a de Polignac number, because 211112121 - 2² = 211112117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211112097 and 211112106.

It is not an unprimeable number, because it can be changed into a prime (211112129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42841 + ... + 47513.

It is an arithmetic number, because the mean of its divisors is an integer number (13152636).

Almost surely, 2^211112121 is an apocalyptic number.

It is an amenable number.

211112121 is a deficient number, since it is larger than the sum of its proper divisors (104551143).

211112121 is a wasteful number, since it uses less digits than its factorization.

211112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4724 counting only the distinct ones).

The product of its digits is 8, while the sum is 12.

The square root of 211112121 is about 14529.6978977541. The cubic root of 211112121 is about 595.4396120313.

Adding to 211112121 its reverse (121211112), we get a palindrome (332323233).

It can be divided in two parts, 211112 and 121, that multiplied together give a palindrome (25544552).

The spelling of 211112121 in words is "two hundred eleven million, one hundred twelve thousand, one hundred twenty-one".