9100009901 has 8 divisors (see below), whose sum is σ = 9324315000. Its totient is φ = 8875816960.

The previous prime is 9100009889. The next prime is 9100009939. The reversal of 9100009901 is 1099000019.

9100009901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1969051876 + 7130958025 = 44374^2 + 84445^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9100009901 - 2¹⁰ = 9100008877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9100009981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149975 + ... + 201723.

It is an arithmetic number, because the mean of its divisors is an integer number (1165539375).

Almost surely, 2^9100009901 is an apocalyptic number.

It is an amenable number.

9100009901 is a deficient number, since it is larger than the sum of its proper divisors (224305099).

9100009901 is a wasteful number, since it uses less digits than its factorization.

9100009901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56079.

The product of its (nonzero) digits is 729, while the sum is 29.

The square root of 9100009901 is about 95393.9720370213. The cubic root of 9100009901 is about 2087.7602358392.

The spelling of 9100009901 in words is "nine billion, one hundred million, nine thousand, nine hundred one".