10101111101009 has 2 divisors, whose sum is σ = 10101111101010. Its totient is φ = 10101111101008.

The previous prime is 10101111100987. The next prime is 10101111101023. The reversal of 10101111101009 is 90010111110101.

10101111101009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10018111219600 + 82999881409 = 3165140^2 + 288097^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101111101009 - 2⁴⁰ = 9001599473233 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101111101089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555550504 + 5050555550505.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555550505).

Almost surely, 2^{10101111101009} is an apocalyptic number.

It is an amenable number.

10101111101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111101009 is an equidigital number, since it uses as much as digits as its factorization.

10101111101009 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 17.

The spelling of 10101111101009 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred one thousand, nine".