21110560512129 has 243 divisors, whose sum is σ = 35611169086857. Its totient is φ = 12041587958400.

The previous prime is 21110560512121. The next prime is 21110560512131. The reversal of 21110560512129 is 92121506501112.

The square root of 21110560512129 is 4594623.

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

21110560512129 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 0 + 5 + 605 + 1 + 21 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8427275462529 + 12683285049600 = 2902977^2 + 3561360^2 .

It is not a de Polignac number, because 21110560512129 - 2³ = 21110560512121 is a prime.

It is a super-2 number, since 2×21110560512129² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21110560512093 and 21110560512102.

It is not an unprimeable number, because it can be changed into a prime (21110560512121) 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 242 ways as a sum of consecutive naturals, for example, 297331838164 + ... + 297331838234.

Almost surely, 2^{21110560512129} is an apocalyptic number.

21110560512129 is the 4594623-rd square number.

21110560512129 is the 2297312-nd centered octagonal number.

It is an amenable number.

21110560512129 is a deficient number, since it is larger than the sum of its proper divisors (14500608574728).

21110560512129 is an equidigital number, since it uses as much as digits as its factorization.

21110560512129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

Multiplying 21110560512129 by its sum of digits (36), we get a square (759980178436644 = 27567738²).

The spelling of 21110560512129 in words is "twenty-one trillion, one hundred ten billion, five hundred sixty million, five hundred twelve thousand, one hundred twenty-nine".