10100208130500 has 384 divisors, whose sum is σ = 30516343603200. Its totient is φ = 2593176768000.

The previous prime is 10100208130471. The next prime is 10100208130541. The reversal of 10100208130500 is 503180200101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12183604086 + ... + 12183604914.

It is an arithmetic number, because the mean of its divisors is an integer number (79469644800).

Almost surely, 2^{10100208130500} is an apocalyptic number.

10100208130500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100208130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15258171801600).

10100208130500 is an abundant number, since it is smaller than the sum of its proper divisors (20416135472700).

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

10100208130500 is a wasteful number, since it uses less digits than its factorization.

10100208130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 10100208130500 its reverse (503180200101), we get a palindrome (10603388330601).

The spelling of 10100208130500 in words is "ten trillion, one hundred billion, two hundred eight million, one hundred thirty thousand, five hundred".