1009100010091 has 8 divisors (see below), whose sum is σ = 1068564898224. Its totient is φ = 949646906880.

The previous prime is 1009100010067. The next prime is 1009100010103. The reversal of 1009100010091 is 1900100019001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1009100010091 - 2⁷ = 1009100009963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009100010041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2769630 + ... + 3112723.

It is an arithmetic number, because the mean of its divisors is an integer number (133570612278).

Almost surely, 2^{1009100010091} is an apocalyptic number.

1009100010091 is a deficient number, since it is larger than the sum of its proper divisors (59464888133).

1009100010091 is a wasteful number, since it uses less digits than its factorization.

1009100010091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892461.

The product of its (nonzero) digits is 81, while the sum is 22.

Adding to 1009100010091 its reverse (1900100019001), we get a palindrome (2909200029092).

The spelling of 1009100010091 in words is "one trillion, nine billion, one hundred million, ten thousand, ninety-one".