10001010101009 has 2 divisors, whose sum is σ = 10001010101010. Its totient is φ = 10001010101008.

The previous prime is 10001010101003. The next prime is 10001010101099. The reversal of 10001010101009 is 90010101010001.

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., 8163751843984 + 1837258257025 = 2857228^2 + 1355455^2 .

It is an emirp because it is prime and its reverse (90010101010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001010101009 - 2³⁶ = 9932290624273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001010100984 and 10001010101002.

It is not a weakly prime, because it can be changed into another prime (10001010101003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505050504 + 5000505050505.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505050505).

Almost surely, 2^{10001010101009} is an apocalyptic number.

It is an amenable number.

10001010101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010101009 is an equidigital number, since it uses as much as digits as its factorization.

10001010101009 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 10001010101009 in words is "ten trillion, one billion, ten million, one hundred one thousand, nine".