1001000910091 has 16 divisors (see below), whose sum is σ = 1232727297984. Its totient is φ = 791533891584.

The previous prime is 1001000910089. The next prime is 1001000910149. The reversal of 1001000910091 is 1900190001001.

It is a cyclic number.

It is not a de Polignac number, because 1001000910091 - 2¹ = 1001000910089 is a prime.

1001000910091 is a modest number, since divided by 910091 gives 10010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1001000910061) 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, 3086590 + ... + 3395443.

It is an arithmetic number, because the mean of its divisors is an integer number (77045456124).

Almost surely, 2^{1001000910091} is an apocalyptic number.

1001000910091 is a deficient number, since it is larger than the sum of its proper divisors (231726387893).

1001000910091 is a wasteful number, since it uses less digits than its factorization.

1001000910091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483750.

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

Adding to 1001000910091 its reverse (1900190001001), we get a palindrome (2901190911092).

The spelling of 1001000910091 in words is "one trillion, one billion, nine hundred ten thousand, ninety-one".