100100109001 has 2 divisors, whose sum is σ = 100100109002. Its totient is φ = 100100109000.

The previous prime is 100100108981. The next prime is 100100109017. The reversal of 100100109001 is 100901001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79706840976 + 20393268025 = 282324^2 + 142805^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100109001 - 2⁹ = 100100108489 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100109101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050054500 + 50050054501.

It is an arithmetic number, because the mean of its divisors is an integer number (50050054501).

Almost surely, 2^100100109001 is an apocalyptic number.

It is an amenable number.

100100109001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100109001 is an equidigital number, since it uses as much as digits as its factorization.

100100109001 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 13.

The spelling of 100100109001 in words is "one hundred billion, one hundred million, one hundred nine thousand, one".