101110011101009 has 2 divisors, whose sum is σ = 101110011101010. Its totient is φ = 101110011101008.

The previous prime is 101110011100997. The next prime is 101110011101041. The reversal of 101110011101009 is 900101110011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93187069689025 + 7922941411984 = 9653345^2 + 2814772^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110011101009 - 2⁴ = 101110011100993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101110011101809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555005550504 + 50555005550505.

It is an arithmetic number, because the mean of its divisors is an integer number (50555005550505).

Almost surely, 2^{101110011101009} is an apocalyptic number.

It is an amenable number.

101110011101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110011101009 is an equidigital number, since it uses as much as digits as its factorization.

101110011101009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 101110011101009 in words is "one hundred one trillion, one hundred ten billion, eleven million, one hundred one thousand, nine".