211011112111122 has 48 divisors (see below), whose sum is σ = 474453216357120. Its totient is φ = 70288158028752.

The previous prime is 211011112111117. The next prime is 211011112111127. The reversal of 211011112111122 is 221111211110112.

It is an interprime number because it is at equal distance from previous prime (211011112111117) and next prime (211011112111127).

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

It is a junction number, because it is equal to n+sod(n) for n = 211011112111095 and 211011112111104.

It is not an unprimeable number, because it can be changed into a prime (211011112111127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150162093 + ... + 151560800.

It is an arithmetic number, because the mean of its divisors is an integer number (9884442007440).

Almost surely, 2^{211011112111122} is an apocalyptic number.

211011112111122 is an abundant number, since it is smaller than the sum of its proper divisors (263442104245998).

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

211011112111122 is a wasteful number, since it uses less digits than its factorization.

211011112111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301724349 (or 301724337 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 211011112111122 its reverse (221111211110112), we get a palindrome (432122323221234).

The spelling of 211011112111122 in words is "two hundred eleven trillion, eleven billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-two".