111101122102049 has 2 divisors, whose sum is σ = 111101122102050. Its totient is φ = 111101122102048.

The previous prime is 111101122101953. The next prime is 111101122102097. The reversal of 111101122102049 is 940201221101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95262831431824 + 15838290670225 = 9760268^2 + 3979735^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111101122102049 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (111101122102549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550561051024 + 55550561051025.

It is an arithmetic number, because the mean of its divisors is an integer number (55550561051025).

Almost surely, 2^{111101122102049} is an apocalyptic number.

It is an amenable number.

111101122102049 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101122102049 is an equidigital number, since it uses as much as digits as its factorization.

111101122102049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 111101122102049 in words is "one hundred eleven trillion, one hundred one billion, one hundred twenty-two million, one hundred two thousand, forty-nine".