101030535125 has 16 divisors (see below), whose sum is σ = 135785041392. Its totient is φ = 74607163200.

The previous prime is 101030535119. The next prime is 101030535127. The reversal of 101030535125 is 521535030101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 77193954244 + 23836580881 = 277838^2 + 154391^2 .

It is not a de Polignac number, because 101030535125 - 2²⁴ = 101013757909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101030535094 and 101030535103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030535127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31084694 + ... + 31087943.

It is an arithmetic number, because the mean of its divisors is an integer number (8486565087).

Almost surely, 2^101030535125 is an apocalyptic number.

It is an amenable number.

101030535125 is a deficient number, since it is larger than the sum of its proper divisors (34754506267).

101030535125 is an equidigital number, since it uses as much as digits as its factorization.

101030535125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62172665 (or 62172655 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

Adding to 101030535125 its reverse (521535030101), we get a palindrome (622565565226).

The spelling of 101030535125 in words is "one hundred one billion, thirty million, five hundred thirty-five thousand, one hundred twenty-five".