10001000101109 has 2 divisors, whose sum is σ = 10001000101110. Its totient is φ = 10001000101108.

The previous prime is 10001000101061. The next prime is 10001000101121. The reversal of 10001000101109 is 90110100010001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9820094492209 + 180905608900 = 3133703^2 + 425330^2 .

It is an emirp because it is prime and its reverse (90110100010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001000101109 - 2⁸ = 10001000100853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001000101093 and 10001000101102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001000101009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000500050554 + 5000500050555.

It is an arithmetic number, because the mean of its divisors is an integer number (5000500050555).

Almost surely, 2^{10001000101109} is an apocalyptic number.

It is an amenable number.

10001000101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001000101109 is an equidigital number, since it uses as much as digits as its factorization.

10001000101109 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 10001000101109 in words is "ten trillion, one billion, one hundred one thousand, one hundred nine".