111122112011101 has 2 divisors, whose sum is σ = 111122112011102. Its totient is φ = 111122112011100.

The previous prime is 111122112011083. The next prime is 111122112011117. The reversal of 111122112011101 is 101110211221111.

It is an a-pointer prime, because the next prime (111122112011117) can be obtained adding 111122112011101 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69206509712025 + 41915602299076 = 8319045^2 + 6474226^2 .

It is a cyclic number.

It is not a de Polignac number, because 111122112011101 - 2⁹ = 111122112010589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111122112021101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55561056005550 + 55561056005551.

It is an arithmetic number, because the mean of its divisors is an integer number (55561056005551).

Almost surely, 2^{111122112011101} is an apocalyptic number.

It is an amenable number.

111122112011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111122112011101 is an equidigital number, since it uses as much as digits as its factorization.

111122112011101 is an evil number, because the sum of its binary digits is even.

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

Adding to 111122112011101 its reverse (101110211221111), we get a palindrome (212232323232212).

The spelling of 111122112011101 in words is "one hundred eleven trillion, one hundred twenty-two billion, one hundred twelve million, eleven thousand, one hundred one".