10101001525 has 12 divisors (see below), whose sum is σ = 12526731844. Its totient is φ = 8079840000.

The previous prime is 10101001523. The next prime is 10101001549. The reversal of 10101001525 is 52510010101.

It can be written as a sum of positive squares in 6 ways, for example, as 2108462724 + 7992538801 = 45918^2 + 89401^2 .

It is not a de Polignac number, because 10101001525 - 2¹ = 10101001523 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101001499 and 10101001508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001523) 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, 252925 + ... + 290125.

Almost surely, 2^10101001525 is an apocalyptic number.

It is an amenable number.

10101001525 is a deficient number, since it is larger than the sum of its proper divisors (2425730319).

10101001525 is a wasteful number, since it uses less digits than its factorization.

10101001525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48072 (or 48067 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 16.

Adding to 10101001525 its reverse (52510010101), we get a palindrome (62611011626).

The spelling of 10101001525 in words is "ten billion, one hundred one million, one thousand, five hundred twenty-five".