1010000909191 has 16 divisors (see below), whose sum is σ = 1088006451840. Its totient is φ = 934485158880.

The previous prime is 1010000909171. The next prime is 1010000909201. The reversal of 1010000909191 is 1919090000101.

It is a cyclic number.

It is not a de Polignac number, because 1010000909191 - 2¹¹ = 1010000907143 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000909171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7689021 + ... + 7819273.

It is an arithmetic number, because the mean of its divisors is an integer number (68000403240).

Almost surely, 2^{1010000909191} is an apocalyptic number.

1010000909191 is a deficient number, since it is larger than the sum of its proper divisors (78005542649).

1010000909191 is a wasteful number, since it uses less digits than its factorization.

1010000909191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139806.

The product of its (nonzero) digits is 729, while the sum is 31.

Adding to 1010000909191 its reverse (1919090000101), we get a palindrome (2929090909292).

It can be divided in two parts, 1010000 and 909191, that added together give a palindrome (1919191).

The spelling of 1010000909191 in words is "one trillion, ten billion, nine hundred nine thousand, one hundred ninety-one".