111935116001 has 2 divisors, whose sum is σ = 111935116002. Its totient is φ = 111935116000.

The previous prime is 111935115947. The next prime is 111935116003. The reversal of 111935116001 is 100611539111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76591116001 + 35344000000 = 276751^2 + 188000^2 .

It is an emirp because it is prime and its reverse (100611539111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111935116001 - 2¹⁸ = 111934853857 is a prime.

Together with 111935116003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (111935116003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55967558000 + 55967558001.

It is an arithmetic number, because the mean of its divisors is an integer number (55967558001).

Almost surely, 2^111935116001 is an apocalyptic number.

It is an amenable number.

111935116001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111935116001 is an equidigital number, since it uses as much as digits as its factorization.

111935116001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 29.

The spelling of 111935116001 in words is "one hundred eleven billion, nine hundred thirty-five million, one hundred sixteen thousand, one".