101101000110001 has 2 divisors, whose sum is σ = 101101000110002. Its totient is φ = 101101000110000.

The previous prime is 101101000109911. The next prime is 101101000110013. The reversal of 101101000110001 is 100011000101101.

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., 98720598558976 + 2380401551025 = 9935824^2 + 1542855^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101000110001 - 2⁹ = 101101000109489 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101000119001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500055000 + 50550500055001.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500055001).

Almost surely, 2^{101101000110001} is an apocalyptic number.

It is an amenable number.

101101000110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101000110001 is an equidigital number, since it uses as much as digits as its factorization.

101101000110001 is an evil number, because the sum of its binary digits is even.

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

Adding to 101101000110001 its reverse (100011000101101), we get a palindrome (201112000211102).

The spelling of 101101000110001 in words is "one hundred one trillion, one hundred one billion, one hundred ten thousand, one".