111010112120009 has 2 divisors, whose sum is σ = 111010112120010. Its totient is φ = 111010112120008.

The previous prime is 111010112119987. The next prime is 111010112120021. The reversal of 111010112120009 is 900021211010111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69801479953984 + 41208632166025 = 8354728^2 + 6419395^2 .

It is an emirp because it is prime and its reverse (900021211010111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111010112120009 - 2¹² = 111010112115913 is a prime.

It is not a weakly prime, because it can be changed into another prime (111010112122009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505056060004 + 55505056060005.

It is an arithmetic number, because the mean of its divisors is an integer number (55505056060005).

Almost surely, 2^{111010112120009} is an apocalyptic number.

It is an amenable number.

111010112120009 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010112120009 is an equidigital number, since it uses as much as digits as its factorization.

111010112120009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 111010112120009 in words is "one hundred eleven trillion, ten billion, one hundred twelve million, one hundred twenty thousand, nine".