10001101009 has 2 divisors, whose sum is σ = 10001101010. Its totient is φ = 10001101008.

The previous prime is 10001100997. The next prime is 10001101031. The reversal of 10001101009 is 90010110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9477606609 + 523494400 = 97353^2 + 22880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001101009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001101009.

It is not a weakly prime, because it can be changed into another prime (10001101039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550504 + 5000550505.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550505).

Almost surely, 2^10001101009 is an apocalyptic number.

It is an amenable number.

10001101009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101009 is an equidigital number, since it uses as much as digits as its factorization.

10001101009 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 13.

The spelling of 10001101009 in words is "ten billion, one million, one hundred one thousand, nine".