10217271012761 has 4 divisors (see below), whose sum is σ = 10217785471524. Its totient is φ = 10216756554000.

The previous prime is 10217271012757. The next prime is 10217271012799. The reversal of 10217271012761 is 16721017271201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 241148762761 + 9976122250000 = 491069^2 + 3158500^2 .

It is a cyclic number.

It is not a de Polignac number, because 10217271012761 - 2² = 10217271012757 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10217271012061) 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 3 ways as a sum of consecutive naturals, for example, 257199590 + ... + 257239311.

It is an arithmetic number, because the mean of its divisors is an integer number (2554446367881).

Almost surely, 2^{10217271012761} is an apocalyptic number.

It is an amenable number.

10217271012761 is a deficient number, since it is larger than the sum of its proper divisors (514458763).

10217271012761 is an equidigital number, since it uses as much as digits as its factorization.

10217271012761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514458762.

The product of its (nonzero) digits is 16464, while the sum is 38.

Adding to 10217271012761 its reverse (16721017271201), we get a palindrome (26938288283962).

The spelling of 10217271012761 in words is "ten trillion, two hundred seventeen billion, two hundred seventy-one million, twelve thousand, seven hundred sixty-one".