101142531525 has 24 divisors (see below), whose sum is σ = 191111222464. Its totient is φ = 46236585600.

The previous prime is 101142531493. The next prime is 101142531557. The reversal of 101142531525 is 525135241101.

It is an interprime number because it is at equal distance from previous prime (101142531493) and next prime (101142531557).

It is not a de Polignac number, because 101142531525 - 2⁵ = 101142531493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101142531492 and 101142531501.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 96325696 + ... + 96326745.

Almost surely, 2^101142531525 is an apocalyptic number.

101142531525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101142531525 is a deficient number, since it is larger than the sum of its proper divisors (89968690939).

101142531525 is a wasteful number, since it uses less digits than its factorization.

101142531525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192652461 (or 192652456 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 101142531525 its reverse (525135241101), we get a palindrome (626277772626).

The spelling of 101142531525 in words is "one hundred one billion, one hundred forty-two million, five hundred thirty-one thousand, five hundred twenty-five".