101135525 has 6 divisors (see below), whose sum is σ = 125408082. Its totient is φ = 80908400.

The previous prime is 101135519. The next prime is 101135543. The reversal of 101135525 is 525531101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2748964 + 98386561 = 1658^2 + 9919^2 .

It is not a de Polignac number, because 101135525 - 2¹⁴ = 101119141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101135525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2022686 + ... + 2022735.

It is an arithmetic number, because the mean of its divisors is an integer number (20901347).

Almost surely, 2^101135525 is an apocalyptic number.

It is an amenable number.

101135525 is a deficient number, since it is larger than the sum of its proper divisors (24272557).

101135525 is an equidigital number, since it uses as much as digits as its factorization.

101135525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045431 (or 4045426 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 101135525 is about 10056.6159815318. The cubic root of 101135525 is about 465.9091551133.

Adding to 101135525 its reverse (525531101), we get a palindrome (626666626).

The spelling of 101135525 in words is "one hundred one million, one hundred thirty-five thousand, five hundred twenty-five".