101032525034 has 24 divisors (see below), whose sum is σ = 176731145028. Its totient is φ = 43191657600.

The previous prime is 101032525001. The next prime is 101032525049. The reversal of 101032525034 is 430525230101.

It is a happy number.

101032525034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 97595634409 + 3436890625 = 312403^2 + 58625^2 .

It is a super-2 number, since 2×101032525034² (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 101032524994 and 101032525012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1246169 + ... + 1324764.

Almost surely, 2^101032525034 is an apocalyptic number.

101032525034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101032525034 is a deficient number, since it is larger than the sum of its proper divisors (75698619994).

101032525034 is a wasteful number, since it uses less digits than its factorization.

101032525034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571350 (or 2571343 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 101032525034 its reverse (430525230101), we get a palindrome (531557755135).

The spelling of 101032525034 in words is "one hundred one billion, thirty-two million, five hundred twenty-five thousand, thirty-four".