71011000010101 has 16 divisors (see below), whose sum is σ = 75781003161600. Its totient is φ = 66306884878080.

The previous prime is 71011000010089. The next prime is 71011000010107. The reversal of 71011000010101 is 10101000011017.

It is a cyclic number.

It is not a de Polignac number, because 71011000010101 - 2²¹ = 71010997912949 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 (71011000010107) 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, 319310736 + ... + 319533046.

It is an arithmetic number, because the mean of its divisors is an integer number (4736312697600).

Almost surely, 2^{71011000010101} is an apocalyptic number.

It is an amenable number.

71011000010101 is a deficient number, since it is larger than the sum of its proper divisors (4770003151499).

71011000010101 is a wasteful number, since it uses less digits than its factorization.

71011000010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370404.

The product of its (nonzero) digits is 7, while the sum is 13.

Adding to 71011000010101 its reverse (10101000011017), we get a palindrome (81112000021118).

The spelling of 71011000010101 in words is "seventy-one trillion, eleven billion, ten thousand, one hundred one".