111111111002122 has 256 divisors, whose sum is σ = 224597803622400. Its totient is φ = 39927807360000.

The previous prime is 111111111002083. The next prime is 111111111002161. The reversal of 111111111002122 is 221200111111111.

111111111002122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (111111111002083) and next prime (111111111002161).

It is a junction number, because it is equal to n+sod(n) for n = 111111111002096 and 111111111002105.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8162125788 + ... + 8162139400.

It is an arithmetic number, because the mean of its divisors is an integer number (877335170400).

Almost surely, 2^{111111111002122} is an apocalyptic number.

111111111002122 is an abundant number, since it is smaller than the sum of its proper divisors (113486692620278).

111111111002122 is a wasteful number, since it uses less digits than its factorization.

111111111002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14213.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 111111111002122 its reverse (221200111111111), we get a palindrome (332311222113233).

The spelling of 111111111002122 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, two thousand, one hundred twenty-two".