9100110001 has 2 divisors, whose sum is σ = 9100110002. Its totient is φ = 9100110000.

The previous prime is 9100109971. The next prime is 9100110007. The reversal of 9100110001 is 1000110019.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7841279601 + 1258830400 = 88551^2 + 35480^2 .

It is an emirp because it is prime and its reverse (1000110019) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9100110001 - 2⁵ = 9100109969 is a prime.

It is not a weakly prime, because it can be changed into another prime (9100110007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4550055000 + 4550055001.

It is an arithmetic number, because the mean of its divisors is an integer number (4550055001).

Almost surely, 2^9100110001 is an apocalyptic number.

It is an amenable number.

9100110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9100110001 is an equidigital number, since it uses as much as digits as its factorization.

9100110001 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 square root of 9100110001 is about 95394.4967018538. The cubic root of 9100110001 is about 2087.7678909237.

The spelling of 9100110001 in words is "nine billion, one hundred million, one hundred ten thousand, one".