10771596204121 has 27 divisors (see below), whose sum is σ = 11188515421629. Its totient is φ = 10369999492128.

The previous prime is 10771596204119. The next prime is 10771596204179. The reversal of 10771596204121 is 12140269517701.

The square root of 10771596204121 is 3282011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2763058440025 + 8008537764096 = 1662245^2 + 2829936^2 .

It is not a de Polignac number, because 10771596204121 - 2¹ = 10771596204119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10771596204221) 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 26 ways as a sum of consecutive naturals, for example, 12993481135 + ... + 12993481963.

Almost surely, 2^{10771596204121} is an apocalyptic number.

10771596204121 is the 3282011-st square number.

10771596204121 is the 1641006-th centered octagonal number.

It is an amenable number.

10771596204121 is a deficient number, since it is larger than the sum of its proper divisors (416919217508).

10771596204121 is an frugal number, since it uses more digits than its factorization.

10771596204121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 46.

The spelling of 10771596204121 in words is "ten trillion, seven hundred seventy-one billion, five hundred ninety-six million, two hundred four thousand, one hundred twenty-one".