111100100110049 has 2 divisors, whose sum is σ = 111100100110050. Its totient is φ = 111100100110048.

The previous prime is 111100100110031. The next prime is 111100100110121. The reversal of 111100100110049 is 940011001001111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83151273287824 + 27948826822225 = 9118732^2 + 5286665^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100100110049 - 2²⁰ = 111100099061473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111100100110049.

It is not a weakly prime, because it can be changed into another prime (111100100100049) 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, 55550050055024 + 55550050055025.

It is an arithmetic number, because the mean of its divisors is an integer number (55550050055025).

Almost surely, 2^{111100100110049} is an apocalyptic number.

It is an amenable number.

111100100110049 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100100110049 is an equidigital number, since it uses as much as digits as its factorization.

111100100110049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 111100100110049 in words is "one hundred eleven trillion, one hundred billion, one hundred million, one hundred ten thousand, forty-nine".