10011101000009 has 2 divisors, whose sum is σ = 10011101000010. Its totient is φ = 10011101000008.

The previous prime is 10011100999997. The next prime is 10011101000041. The reversal of 10011101000009 is 90000010111001.

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., 7327156024384 + 2683944975625 = 2706872^2 + 1638275^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011101000009 - 2¹² = 10011100995913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011100999957 and 10011101000002.

It is not a weakly prime, because it can be changed into another prime (10011101000609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005550500004 + 5005550500005.

It is an arithmetic number, because the mean of its divisors is an integer number (5005550500005).

Almost surely, 2^{10011101000009} is an apocalyptic number.

It is an amenable number.

10011101000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011101000009 is an equidigital number, since it uses as much as digits as its factorization.

10011101000009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10011101000009 in words is "ten trillion, eleven billion, one hundred one million, nine", and thus it is an aban number.