111001011001073 has 2 divisors, whose sum is σ = 111001011001074. Its totient is φ = 111001011001072.

The previous prime is 111001011001063. The next prime is 111001011001121. The reversal of 111001011001073 is 370100110100111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91768295498929 + 19232715502144 = 9579577^2 + 4385512^2 .

It is an emirp because it is prime and its reverse (370100110100111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111001011001073 - 2⁶ = 111001011001009 is a prime.

It is not a weakly prime, because it can be changed into another prime (111001011001063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500505500536 + 55500505500537.

It is an arithmetic number, because the mean of its divisors is an integer number (55500505500537).

Almost surely, 2^{111001011001073} is an apocalyptic number.

It is an amenable number.

111001011001073 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001011001073 is an equidigital number, since it uses as much as digits as its factorization.

111001011001073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 17.

Adding to 111001011001073 its reverse (370100110100111), we get a palindrome (481101121101184).

The spelling of 111001011001073 in words is "one hundred eleven trillion, one billion, eleven million, one thousand, seventy-three".