10001100100109 has 2 divisors, whose sum is σ = 10001100100110. Its totient is φ = 10001100100108.

The previous prime is 10001100100087. The next prime is 10001100100157. The reversal of 10001100100109 is 90100100110001.

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., 5715910295209 + 4285189804900 = 2390797^2 + 2070070^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001100100109 - 2⁸ = 10001100099853 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10001100100093 and 10001100100102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001100100609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550050054 + 5000550050055.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550050055).

Almost surely, 2^{10001100100109} is an apocalyptic number.

It is an amenable number.

10001100100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100100109 is an equidigital number, since it uses as much as digits as its factorization.

10001100100109 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 14.

The spelling of 10001100100109 in words is "ten trillion, one billion, one hundred million, one hundred thousand, one hundred nine".