9100001001 has 64 divisors (see below), whose sum is σ = 15433822208. Its totient is φ = 4640779008.

The previous prime is 9100000969. The next prime is 9100001011. The reversal of 9100001001 is 1001000019.

It is not a de Polignac number, because 9100001001 - 2⁵ = 9100000969 is a prime.

9100001001 is a modest number, since divided by 1001 gives 91 as remainder.

It is not an unprimeable number, because it can be changed into a prime (9100001011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1643700 + ... + 1649226.

It is an arithmetic number, because the mean of its divisors is an integer number (241153472).

Almost surely, 2^9100001001 is an apocalyptic number.

9100001001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9100001001 is a deficient number, since it is larger than the sum of its proper divisors (6333821207).

9100001001 is a wasteful number, since it uses less digits than its factorization.

9100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 9100001001 is about 95393.9253883600. The cubic root of 9100001001 is about 2087.7595552146.

The spelling of 9100001001 in words is "nine billion, one hundred million, one thousand, one".