10100083508500 has 48 divisors (see below), whose sum is σ = 22059816302160. Its totient is φ = 4039807411200.

The previous prime is 10100083508477. The next prime is 10100083508521. The reversal of 10100083508500 is 580538000101.

It can be written as a sum of positive squares in 8 ways, for example, as 7583888100996 + 2516195407504 = 2753886^2 + 1586252^2 .

It is a congruent number.

It is an unprimeable number.

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, 8528604 + ... + 9640396.

It is an arithmetic number, because the mean of its divisors is an integer number (459579506295).

Almost surely, 2^{10100083508500} is an apocalyptic number.

10100083508500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100083508500 is an abundant number, since it is smaller than the sum of its proper divisors (11959732793660).

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

10100083508500 is a wasteful number, since it uses less digits than its factorization.

10100083508500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129981 (or 1129969 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 10100083508500 in words is "ten trillion, one hundred billion, eighty-three million, five hundred eight thousand, five hundred".