101100122009 has 2 divisors, whose sum is σ = 101100122010. Its totient is φ = 101100122008.

The previous prime is 101100121979. The next prime is 101100122059. The reversal of 101100122009 is 900221001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91442736025 + 9657385984 = 302395^2 + 98272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100122009 is a prime.

It is not a weakly prime, because it can be changed into another prime (101100122059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550061004 + 50550061005.

It is an arithmetic number, because the mean of its divisors is an integer number (50550061005).

Almost surely, 2^101100122009 is an apocalyptic number.

It is an amenable number.

101100122009 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100122009 is an equidigital number, since it uses as much as digits as its factorization.

101100122009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 101100122009 in words is "one hundred one billion, one hundred million, one hundred twenty-two thousand, nine".