100011100201 has 2 divisors, whose sum is σ = 100011100202. Its totient is φ = 100011100200.

The previous prime is 100011100171. The next prime is 100011100279. The reversal of 100011100201 is 102001110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96782587801 + 3228512400 = 311099^2 + 56820^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011100201 - 2⁷ = 100011100073 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011100801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005550100 + 50005550101.

It is an arithmetic number, because the mean of its divisors is an integer number (50005550101).

Almost surely, 2^100011100201 is an apocalyptic number.

It is an amenable number.

100011100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011100201 is an equidigital number, since it uses as much as digits as its factorization.

100011100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100011100201 its reverse (102001110001), we get a palindrome (202012210202).

The spelling of 100011100201 in words is "one hundred billion, eleven million, one hundred thousand, two hundred one".