211122100121112 has 96 divisors (see below), whose sum is σ = 587311054948800. Its totient is φ = 68464071493632.

The previous prime is 211122100121087. The next prime is 211122100121117. The reversal of 211122100121112 is 211121001221112.

It is a happy number.

211122100121112 is a `hidden beast` number, since 211 + 1 + 221 + 0 + 0 + 121 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122100121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18331633 + ... + 27537119.

It is an arithmetic number, because the mean of its divisors is an integer number (6117823489050).

Almost surely, 2^{211122100121112} is an apocalyptic number.

It is an amenable number.

211122100121112 is an abundant number, since it is smaller than the sum of its proper divisors (376188954827688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211122100121112 is a wasteful number, since it uses less digits than its factorization.

211122100121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214145 (or 9214138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211122100121112 its reverse (211121001221112), we get a palindrome (422243101342224).

The spelling of 211122100121112 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-one thousand, one hundred twelve".