211121110001121 has 32 divisors (see below), whose sum is σ = 289439870522880. Its totient is φ = 136800629913600.

The previous prime is 211121110001107. The next prime is 211121110001141. The reversal of 211121110001121 is 121100011121112.

It is not a de Polignac number, because 211121110001121 - 2¹⁹ = 211121109476833 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211121110001121.

It is not an unprimeable number, because it can be changed into a prime (211121110001141) 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 31 ways as a sum of consecutive naturals, for example, 672269625 + ... + 672583593.

It is an arithmetic number, because the mean of its divisors is an integer number (9044995953840).

Almost surely, 2^{211121110001121} is an apocalyptic number.

It is an amenable number.

211121110001121 is a deficient number, since it is larger than the sum of its proper divisors (78318760521759).

211121110001121 is a wasteful number, since it uses less digits than its factorization.

211121110001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334457.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211121110001121 its reverse (121100011121112), we get a palindrome (332221121122233).

The spelling of 211121110001121 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred ten million, one thousand, one hundred twenty-one".