1009100100005 has 16 divisors (see below), whose sum is σ = 1215825811200. Its totient is φ = 804012564288.

The previous prime is 1009100099989. The next prime is 1009100100007. The reversal of 1009100100005 is 5000010019001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1009100100005 - 2⁴ = 1009100099989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009100100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2574884 + ... + 2940786.

It is an arithmetic number, because the mean of its divisors is an integer number (75989113200).

Almost surely, 2^{1009100100005} is an apocalyptic number.

It is an amenable number.

1009100100005 is a deficient number, since it is larger than the sum of its proper divisors (206725711195).

1009100100005 is a wasteful number, since it uses less digits than its factorization.

1009100100005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368140.

The product of its (nonzero) digits is 45, while the sum is 17.

Adding to 1009100100005 its reverse (5000010019001), we get a palindrome (6009110119006).

The spelling of 1009100100005 in words is "one trillion, nine billion, one hundred million, one hundred thousand, five".