10120485175441 has 27 divisors (see below), whose sum is σ = 10561893198129. Its totient is φ = 9697124812032.

The previous prime is 10120485175421. The next prime is 10120485175561. The reversal of 10120485175441 is 14457158402101.

It is a happy number.

The square root of 10120485175441 is 3181271.

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 232001172225 + 9888484003216 = 481665^2 + 3144596^2 .

It is not a de Polignac number, because 10120485175441 - 2⁷ = 10120485175313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120485175421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15037867681 + ... + 15037868353.

Almost surely, 2^{10120485175441} is an apocalyptic number.

10120485175441 is the 3181271-st square number.

10120485175441 is the 1590636-th centered octagonal number.

It is an amenable number.

10120485175441 is a deficient number, since it is larger than the sum of its proper divisors (441408022688).

10120485175441 is an frugal number, since it uses more digits than its factorization.

10120485175441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 43.

The spelling of 10120485175441 in words is "ten trillion, one hundred twenty billion, four hundred eighty-five million, one hundred seventy-five thousand, four hundred forty-one".