9101001000 has 1024 divisors, whose sum is σ = 38720747520. Its totient is φ = 1725235200.

The previous prime is 9101000989. The next prime is 9101001001. The reversal of 9101001000 is 1001019.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (9101001001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 171716974 + ... + 171717026.

It is an arithmetic number, because the mean of its divisors is an integer number (37813230).

Almost surely, 2^9101001000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9101001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19360373760).

9101001000 is an abundant number, since it is smaller than the sum of its proper divisors (29619746520).

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

9101001000 is a wasteful number, since it uses less digits than its factorization.

9101001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

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

The square root of 9101001000 is about 95399.1666630270. The cubic root of 9101001000 is about 2087.8360270376.

Adding to 9101001000 its reverse (1001019), we get a palindrome (9102002019).

The spelling of 9101001000 in words is "nine billion, one hundred one million, one thousand".