9091000001000 has 64 divisors (see below), whose sum is σ = 21483563409360. Its totient is φ = 3600396000000.

The previous prime is 9091000000991. The next prime is 9091000001009. The reversal of 9091000001000 is 1000001909.

It is an interprime number because it is at equal distance from previous prime (9091000000991) and next prime (9091000001009).

It can be written as a sum of positive squares in 8 ways, for example, as 484251757924 + 8606748243076 = 695882^2 + 2933726^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (9091000001009) 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 in 15 ways as a sum of consecutive naturals, for example, 44903951 + ... + 45105950.

Almost surely, 2^{9091000001000} is an apocalyptic number.

It is an amenable number.

9091000001000 is an abundant number, since it is smaller than the sum of its proper divisors (12392563408360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9091000001000 is a wasteful number, since it uses less digits than its factorization.

9091000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90010023 (or 90010009 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 9091000001000 its reverse (1000001909), we get a palindrome (9092000002909).

The spelling of 9091000001000 in words is "nine trillion, ninety-one billion, one thousand".