10101010001009 has 2 divisors, whose sum is σ = 10101010001010. Its totient is φ = 10101010001008.

The previous prime is 10101010000969. The next prime is 10101010001041. The reversal of 10101010001009 is 90010001010101.

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., 9960462240400 + 140547760609 = 3156020^2 + 374897^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101010001009 - 2²⁴ = 10100993223793 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10101010000984 and 10101010001002.

It is not a weakly prime, because it can be changed into another prime (10101010001059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050505000504 + 5050505000505.

It is an arithmetic number, because the mean of its divisors is an integer number (5050505000505).

Almost surely, 2^{10101010001009} is an apocalyptic number.

It is an amenable number.

10101010001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101010001009 is an equidigital number, since it uses as much as digits as its factorization.

10101010001009 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 10101010001009 in words is "ten trillion, one hundred one billion, ten million, one thousand, nine".