210260820128 has 12 divisors (see below), whose sum is σ = 413950989690. Its totient is φ = 105130410048.

The previous prime is 210260820127. The next prime is 210260820173. The reversal of 210260820128 is 821028062012.

210260820128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 131719636624 + 78541183504 = 362932^2 + 280252^2 .

It is a super-3 number, since 3×210260820128³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 6570650629 = 210260820128 / (2 + 1 + 0 + 2 + 6 + 0 + 8 + 2 + 0 + 1 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 210260820094 and 210260820103.

It is not an unprimeable number, because it can be changed into a prime (210260820127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3285325283 + ... + 3285325346.

Almost surely, 2^210260820128 is an apocalyptic number.

It is an amenable number.

210260820128 is a deficient number, since it is larger than the sum of its proper divisors (203690169562).

210260820128 is an equidigital number, since it uses as much as digits as its factorization.

210260820128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570650639 (or 6570650631 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 210260820128 in words is "two hundred ten billion, two hundred sixty million, eight hundred twenty thousand, one hundred twenty-eight".