10111011010049 has 2 divisors, whose sum is σ = 10111011010050. Its totient is φ = 10111011010048.

The previous prime is 10111011009989. The next prime is 10111011010063. The reversal of 10111011010049 is 94001011011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8699001651649 + 1412009358400 = 2949407^2 + 1188280^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111011010049 - 2²⁸ = 10110742574593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10111011010049.

It is not a weakly prime, because it can be changed into another prime (10111011010099) 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, 5055505505024 + 5055505505025.

It is an arithmetic number, because the mean of its divisors is an integer number (5055505505025).

Almost surely, 2^{10111011010049} is an apocalyptic number.

It is an amenable number.

10111011010049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111011010049 is an equidigital number, since it uses as much as digits as its factorization.

10111011010049 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 10111011010049 in words is "ten trillion, one hundred eleven billion, eleven million, ten thousand, forty-nine".