101000505000500 has 768 divisors, whose sum is σ = 284071707279360. Its totient is φ = 30570882048000.

The previous prime is 101000505000481. The next prime is 101000505000503. The reversal of 101000505000500 is 5000505000101.

It is a super-2 number, since 2×101000505000500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000505000503) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14171527937 + ... + 14171535063.

It is an arithmetic number, because the mean of its divisors is an integer number (369885035520).

Almost surely, 2^{101000505000500} is an apocalyptic number.

101000505000500 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 101000505000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142035853639680).

101000505000500 is an abundant number, since it is smaller than the sum of its proper divisors (183071202278860).

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

101000505000500 is a wasteful number, since it uses less digits than its factorization.

101000505000500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The spelling of 101000505000500 in words is "one hundred one trillion, five hundred five million, five hundred", and thus it is an aban number.