101305005400500 has 384 divisors, whose sum is σ = 340999760424960. Its totient is φ = 23112129600000.

The previous prime is 101305005400483. The next prime is 101305005400513. The reversal of 101305005400500 is 5004500503101.

It is a congruent number.

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, 46268494 + ... + 48408506.

It is an arithmetic number, because the mean of its divisors is an integer number (888020209440).

Almost surely, 2^{101305005400500} is an apocalyptic number.

101305005400500 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 101305005400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170499880212480).

101305005400500 is an abundant number, since it is smaller than the sum of its proper divisors (239694755024460).

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

101305005400500 is a wasteful number, since it uses less digits than its factorization.

101305005400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140216 (or 2140204 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 101305005400500 its reverse (5004500503101), we get a palindrome (106309505903601).

The spelling of 101305005400500 in words is "one hundred one trillion, three hundred five billion, five million, four hundred thousand, five hundred".