100011100000601 has 2 divisors, whose sum is σ = 100011100000602. Its totient is φ = 100011100000600.

The previous prime is 100011100000583. The next prime is 100011100000649. The reversal of 100011100000601 is 106000001110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51805517736025 + 48205582264576 = 7197605^2 + 6943024^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011100000601 - 2³⁰ = 100010026258777 is a prime.

It is a super-2 number, since 2×100011100000601² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100011100800601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005550000300 + 50005550000301.

It is an arithmetic number, because the mean of its divisors is an integer number (50005550000301).

Almost surely, 2^{100011100000601} is an apocalyptic number.

It is an amenable number.

100011100000601 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011100000601 is an equidigital number, since it uses as much as digits as its factorization.

100011100000601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100011100000601 its reverse (106000001110001), we get a palindrome (206011101110602).

The spelling of 100011100000601 in words is "one hundred trillion, eleven billion, one hundred million, six hundred one", and thus it is an aban number.