101000101109 has 2 divisors, whose sum is σ = 101000101110. Its totient is φ = 101000101108.

The previous prime is 101000101099. The next prime is 101000101127. The reversal of 101000101109 is 901101000101.

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., 87175515025 + 13824586084 = 295255^2 + 117578^2 .

It is an emirp because it is prime and its reverse (901101000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000101109 - 2⁴ = 101000101093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000101093 and 101000101102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000101009) 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, 50500050554 + 50500050555.

It is an arithmetic number, because the mean of its divisors is an integer number (50500050555).

Almost surely, 2^101000101109 is an apocalyptic number.

It is an amenable number.

101000101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000101109 is an equidigital number, since it uses as much as digits as its factorization.

101000101109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101000101109 in words is "one hundred one billion, one hundred one thousand, one hundred nine".