101100010009 has 2 divisors, whose sum is σ = 101100010010. Its totient is φ = 101100010008.

The previous prime is 101100010003. The next prime is 101100010069. The reversal of 101100010009 is 900010001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96968091609 + 4131918400 = 311397^2 + 64280^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100010009 - 2⁵ = 101100009977 is a prime.

It is not a weakly prime, because it can be changed into another prime (101100010003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550005004 + 50550005005.

It is an arithmetic number, because the mean of its divisors is an integer number (50550005005).

Almost surely, 2^101100010009 is an apocalyptic number.

It is an amenable number.

101100010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100010009 is an equidigital number, since it uses as much as digits as its factorization.

101100010009 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 101100010009 in words is "one hundred one billion, one hundred million, ten thousand, nine".