10101255025 has 9 divisors (see below), whose sum is σ = 12526179393. Its totient is φ = 8080602000.

The previous prime is 10101255013. The next prime is 10101255049. The reversal of 10101255025 is 52055210101.

It is a happy number.

The square root of 10101255025 is 100505.

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

10101255025 is digitally balanced in base 2, 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 4 ways, for example, as 934341489 + 9166913536 = 30567^2 + 95744^2 .

It is not a de Polignac number, because 10101255025 - 2²⁹ = 9564384113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101254987 and 10101255005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 492475 + ... + 512575.

Almost surely, 2^10101255025 is an apocalyptic number.

10101255025 is the 100505-th square number.

10101255025 is the 50253-rd centered octagonal number.

It is an amenable number.

10101255025 is a deficient number, since it is larger than the sum of its proper divisors (2424924368).

10101255025 is an frugal number, since it uses more digits than its factorization.

10101255025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40212 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

Adding to 10101255025 its reverse (52055210101), we get a palindrome (62156465126).

The spelling of 10101255025 in words is "ten billion, one hundred one million, two hundred fifty-five thousand, twenty-five".