100101100110001 has 2 divisors, whose sum is σ = 100101100110002. Its totient is φ = 100101100110000.

The previous prime is 100101100109981. The next prime is 100101100110017. The reversal of 100101100110001 is 100011001101001.

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., 60065615540401 + 40035484569600 = 7750201^2 + 6327360^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101100110001 - 2⁷ = 100101100109873 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101100110031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050550055000 + 50050550055001.

It is an arithmetic number, because the mean of its divisors is an integer number (50050550055001).

Almost surely, 2^{100101100110001} is an apocalyptic number.

It is an amenable number.

100101100110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101100110001 is an equidigital number, since it uses as much as digits as its factorization.

100101100110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101100110001 its reverse (100011001101001), we get a palindrome (200112101211002).

The spelling of 100101100110001 in words is "one hundred trillion, one hundred one billion, one hundred million, one hundred ten thousand, one".