101132253125 has 12 divisors (see below), whose sum is σ = 126407229732. Its totient is φ = 80905800000.

The previous prime is 101132253121. The next prime is 101132253133. The reversal of 101132253125 is 521352231101.

It can be written as a sum of positive squares in 6 ways, for example, as 67608840289 + 33523412836 = 260017^2 + 183094^2 .

It is not a de Polignac number, because 101132253125 - 2² = 101132253121 is a prime.

It is a super-3 number, since 3×101132253125³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101132253094 and 101132253103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101132253121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16178036 + ... + 16184285.

It is an arithmetic number, because the mean of its divisors is an integer number (10533935811).

Almost surely, 2^101132253125 is an apocalyptic number.

It is an amenable number.

101132253125 is a deficient number, since it is larger than the sum of its proper divisors (25274976607).

101132253125 is an frugal number, since it uses more digits than its factorization.

101132253125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32362346 (or 32362326 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 101132253125 its reverse (521352231101), we get a palindrome (622484484226).

The spelling of 101132253125 in words is "one hundred one billion, one hundred thirty-two million, two hundred fifty-three thousand, one hundred twenty-five".