101003500800 has 1080 divisors, whose sum is σ = 403393853016. Its totient is φ = 24843386880.

The previous prime is 101003500799. The next prime is 101003500823. The reversal of 101003500800 is 8005300101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19874232576 + 81129268224 = 140976^2 + 284832^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 643334322 + ... + 643334478.

Almost surely, 2^101003500800 is an apocalyptic number.

101003500800 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 101003500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201696926508).

101003500800 is an abundant number, since it is smaller than the sum of its proper divisors (302390352216).

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

101003500800 is a wasteful number, since it uses less digits than its factorization.

101003500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 101003500800 its reverse (8005300101), we get a palindrome (109008800901).

The spelling of 101003500800 in words is "one hundred one billion, three million, five hundred thousand, eight hundred".