10101106009 has 2 divisors, whose sum is σ = 10101106010. Its totient is φ = 10101106008.

The previous prime is 10101105977. The next prime is 10101106039. The reversal of 10101106009 is 90060110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6790254409 + 3310851600 = 82403^2 + 57540^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101106009 - 2⁵ = 10101105977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101106039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050553004 + 5050553005.

It is an arithmetic number, because the mean of its divisors is an integer number (5050553005).

Almost surely, 2^10101106009 is an apocalyptic number.

It is an amenable number.

10101106009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101106009 is an equidigital number, since it uses as much as digits as its factorization.

10101106009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 10101106009 in words is "ten billion, one hundred one million, one hundred six thousand, nine".