7271191041101 has 16 divisors (see below), whose sum is σ = 7911575271600. Its totient is φ = 6642530800128.

The previous prime is 7271191041089. The next prime is 7271191041133. The reversal of 7271191041101 is 1011401911727.

It can be written as a sum of positive squares in 8 ways, for example, as 1759002723076 + 5512188318025 = 1326274^2 + 2347805^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7271191041101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7271191046101) 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, 1779446 + ... + 4208183.

It is an arithmetic number, because the mean of its divisors is an integer number (494473454475).

Almost surely, 2^{7271191041101} is an apocalyptic number.

It is an amenable number.

7271191041101 is a deficient number, since it is larger than the sum of its proper divisors (640384230499).

7271191041101 is a wasteful number, since it uses less digits than its factorization.

7271191041101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988608.

The product of its (nonzero) digits is 3528, while the sum is 35.

Adding to 7271191041101 its reverse (1011401911727), we get a palindrome (8282592952828).

The spelling of 7271191041101 in words is "seven trillion, two hundred seventy-one billion, one hundred ninety-one million, forty-one thousand, one hundred one".