100011001011049 has 2 divisors, whose sum is σ = 100011001011050. Its totient is φ = 100011001011048.

The previous prime is 100011001011017. The next prime is 100011001011161. The reversal of 100011001011049 is 940110100110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81761290418025 + 18249710593024 = 9042195^2 + 4271968^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011001011049 - 2⁵ = 100011001011017 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011001017049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500505524 + 50005500505525.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500505525).

Almost surely, 2^{100011001011049} is an apocalyptic number.

It is an amenable number.

100011001011049 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011001011049 is an equidigital number, since it uses as much as digits as its factorization.

100011001011049 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 19.

The spelling of 100011001011049 in words is "one hundred trillion, eleven billion, one million, eleven thousand, forty-nine".