101132415025 has 6 divisors (see below), whose sum is σ = 125404194662. Its totient is φ = 80905932000.

The previous prime is 101132415001. The next prime is 101132415037. The reversal of 101132415025 is 520514231101.

It can be written as a sum of positive squares in 3 ways, for example, as 36397089 + 101096017936 = 6033^2 + 317956^2 .

It is not a de Polignac number, because 101132415025 - 2¹¹ = 101132412977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 4045296601 = 101132415025 / (1 + 0 + 1 + 1 + 3 + 2 + 4 + 1 + 5 + 0 + 2 + 5).

It is a Duffinian number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2022648276 + ... + 2022648325.

Almost surely, 2^101132415025 is an apocalyptic number.

It is an amenable number.

101132415025 is a deficient number, since it is larger than the sum of its proper divisors (24271779637).

101132415025 is an equidigital number, since it uses as much as digits as its factorization.

101132415025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045296611 (or 4045296606 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 101132415025 its reverse (520514231101), we get a palindrome (621646646126).

The spelling of 101132415025 in words is "one hundred one billion, one hundred thirty-two million, four hundred fifteen thousand, twenty-five".