101241525 has 96 divisors (see below), whose sum is σ = 213700608. Its totient is φ = 41068800.

The previous prime is 101241487. The next prime is 101241541. The reversal of 101241525 is 525142101.

It is not a de Polignac number, because 101241525 - 2¹⁰ = 101240501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271239 + ... + 271611.

It is an arithmetic number, because the mean of its divisors is an integer number (2226048).

Almost surely, 2^101241525 is an apocalyptic number.

101241525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101241525 is an abundant number, since it is smaller than the sum of its proper divisors (112459083).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101241525 is a wasteful number, since it uses less digits than its factorization.

101241525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 101241525 is about 10061.8847638005. The cubic root of 101241525 is about 466.0718711868.

Adding to 101241525 its reverse (525142101), we get a palindrome (626383626).

The spelling of 101241525 in words is "one hundred one million, two hundred forty-one thousand, five hundred twenty-five".