10300960859121 has 27 divisors (see below), whose sum is σ = 14918167839393. Its totient is φ = 6849353234880.

The previous prime is 10300960859113. The next prime is 10300960859141. The reversal of 10300960859121 is 12195806900301.

The square root of 10300960859121 is 3209511.

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

10300960859121 is a `hidden beast` number, since 1 + 0 + 30 + 0 + 9 + 6 + 0 + 8 + 591 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2942957405025 + 7358003454096 = 1715505^2 + 2712564^2 .

It is not a de Polignac number, because 10300960859121 - 2³ = 10300960859113 is a prime.

It is a super-2 number, since 2×10300960859121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10300960859141) 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, 4400238411 + ... + 4400240751.

Almost surely, 2^{10300960859121} is an apocalyptic number.

10300960859121 is the 3209511-st square number.

10300960859121 is the 1604756-th centered octagonal number.

It is an amenable number.

10300960859121 is a deficient number, since it is larger than the sum of its proper divisors (4617206980272).

10300960859121 is an frugal number, since it uses more digits than its factorization.

10300960859121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10300960859121 in words is "ten trillion, three hundred billion, nine hundred sixty million, eight hundred fifty-nine thousand, one hundred twenty-one".