10101111010009 has 2 divisors, whose sum is σ = 10101111010010. Its totient is φ = 10101111010008.

The previous prime is 10101111009967. The next prime is 10101111010019. The reversal of 10101111010009 is 90001011110101.

10101111010009 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., 8419265150409 + 1681845859600 = 2901597^2 + 1296860^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101111010009 - 2³¹ = 10098963526361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101111009974 and 10101111010001.

It is not a weakly prime, because it can be changed into another prime (10101111010019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050555505004 + 5050555505005.

It is an arithmetic number, because the mean of its divisors is an integer number (5050555505005).

Almost surely, 2^{10101111010009} is an apocalyptic number.

It is an amenable number.

10101111010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101111010009 is an equidigital number, since it uses as much as digits as its factorization.

10101111010009 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 16.

The spelling of 10101111010009 in words is "ten trillion, one hundred one billion, one hundred eleven million, ten thousand, nine".