1000110101009 has 2 divisors, whose sum is σ = 1000110101010. Its totient is φ = 1000110101008.

The previous prime is 1000110100921. The next prime is 1000110101017. The reversal of 1000110101009 is 9001010110001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 633770433409 + 366339667600 = 796097^2 + 605260^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000110101009 - 2²⁰ = 1000109052433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000110100984 and 1000110101002.

It is not a weakly prime, because it can be changed into another prime (1000110101069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055050504 + 500055050505.

It is an arithmetic number, because the mean of its divisors is an integer number (500055050505).

Almost surely, 2^{1000110101009} is an apocalyptic number.

It is an amenable number.

1000110101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000110101009 is an equidigital number, since it uses as much as digits as its factorization.

1000110101009 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 1000110101009 in words is "one trillion, one hundred ten million, one hundred one thousand, nine".