111112012205101 has 2 divisors, whose sum is σ = 111112012205102. Its totient is φ = 111112012205100.

The previous prime is 111112012205053. The next prime is 111112012205111. The reversal of 111112012205101 is 101502210211111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101386976192100 + 9725036013001 = 10069110^2 + 3118499^2 .

It is a cyclic number.

It is not a de Polignac number, because 111112012205101 - 2¹³ = 111112012196909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111112012205111) 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 as a sum of consecutive naturals, namely, 55556006102550 + 55556006102551.

It is an arithmetic number, because the mean of its divisors is an integer number (55556006102551).

Almost surely, 2^{111112012205101} is an apocalyptic number.

It is an amenable number.

111112012205101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111112012205101 is an equidigital number, since it uses as much as digits as its factorization.

111112012205101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 19.

Adding to 111112012205101 its reverse (101502210211111), we get a palindrome (212614222416212).

The spelling of 111112012205101 in words is "one hundred eleven trillion, one hundred twelve billion, twelve million, two hundred five thousand, one hundred one".