211102112122 has 32 divisors (see below), whose sum is σ = 348931800000. Its totient is φ = 94985904000.

The previous prime is 211102112099. The next prime is 211102112149. The reversal of 211102112122 is 221211201112.

211102112122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211102112096 and 211102112105.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20101629 + ... + 20112127.

It is an arithmetic number, because the mean of its divisors is an integer number (10904118750).

Almost surely, 2^211102112122 is an apocalyptic number.

211102112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211102112122 is a deficient number, since it is larger than the sum of its proper divisors (137829687878).

211102112122 is a wasteful number, since it uses less digits than its factorization.

211102112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19662.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211102112122 its reverse (221211201112), we get a palindrome (432313313234).

The spelling of 211102112122 in words is "two hundred eleven billion, one hundred two million, one hundred twelve thousand, one hundred twenty-two".