101125531 has 8 divisors (see below), whose sum is σ = 109111184. Its totient is φ = 93169440.

The previous prime is 101125517. The next prime is 101125553. The reversal of 101125531 is 135521101.

101125531 is a nontrivial binomial coefficient, being equal to C(14222, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101125531 - 2⁹ = 101125019 is a prime.

It is a super-2 number, since 2×101125531² = 20452746040063922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101125499 and 101125508.

It is not an unprimeable number, because it can be changed into a prime (101125511) 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 in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 14221.

It is an arithmetic number, because the mean of its divisors is an integer number (13638898).

Almost surely, 2^101125531 is an apocalyptic number.

101125531 is the 14221-st triangular number and also the 7111-st hexagonal number.

101125531 is the 4741-st centered nonagonal number.

101125531 is a deficient number, since it is larger than the sum of its proper divisors (7985653).

101125531 is a wasteful number, since it uses less digits than its factorization.

101125531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14781.

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 101125531 is about 10056.1190824294. The cubic root of 101125531 is about 465.8938078866.

Adding to 101125531 its reverse (135521101), we get a palindrome (236646632).

The spelling of 101125531 in words is "one hundred one million, one hundred twenty-five thousand, five hundred thirty-one".