9001101100100 has 36 divisors (see below), whose sum is σ = 20681353472724. Its totient is φ = 3388649825280.

The previous prime is 9001101100063. The next prime is 9001101100133. The reversal of 9001101100100 is 10011011009.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 63859311616 + 8937241788484 = 252704^2 + 2989522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2647380977 + ... + 2647384376.

It is an arithmetic number, because the mean of its divisors is an integer number (574482040909).

Almost surely, 2^{9001101100100} is an apocalyptic number.

It is an amenable number.

9001101100100 is an abundant number, since it is smaller than the sum of its proper divisors (11680252372624).

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

9001101100100 is a wasteful number, since it uses less digits than its factorization.

9001101100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294765384 (or 5294765377 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 9001101100100 its reverse (10011011009), we get a palindrome (9011112111109).

The spelling of 9001101100100 in words is "nine trillion, one billion, one hundred one million, one hundred thousand, one hundred".