111002112101113 has 2 divisors, whose sum is σ = 111002112101114. Its totient is φ = 111002112101112.

The previous prime is 111002112101057. The next prime is 111002112101129. The reversal of 111002112101113 is 311101211200111.

It is an a-pointer prime, because the next prime (111002112101129) can be obtained adding 111002112101113 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., 75330543586489 + 35671568514624 = 8679317^2 + 5972568^2 .

It is a cyclic number.

It is not a de Polignac number, because 111002112101113 - 2⁹ = 111002112100601 is a prime.

It is a super-2 number, since 2×111002112101113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111002112101213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55501056050556 + 55501056050557.

It is an arithmetic number, because the mean of its divisors is an integer number (55501056050557).

Almost surely, 2^{111002112101113} is an apocalyptic number.

It is an amenable number.

111002112101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111002112101113 is an equidigital number, since it uses as much as digits as its factorization.

111002112101113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 111002112101113 its reverse (311101211200111), we get a palindrome (422103323301224).

The spelling of 111002112101113 in words is "one hundred eleven trillion, two billion, one hundred twelve million, one hundred one thousand, one hundred thirteen".