10080100800 has 504 divisors, whose sum is σ = 44672414592. Its totient is φ = 2094336000.

The previous prime is 10080100759. The next prime is 10080100813. The reversal of 10080100800 is 800108001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×10080100800³ (a number of 31 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1104255 + ... + 1113345.

Almost surely, 2^10080100800 is an apocalyptic number.

10080100800 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 10080100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22336207296).

10080100800 is an abundant number, since it is smaller than the sum of its proper divisors (34592313792).

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

10080100800 is a wasteful number, since it uses less digits than its factorization.

10080100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9137 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10080100800 its reverse (800108001), we get a palindrome (10880208801).

The spelling of 10080100800 in words is "ten billion, eighty million, one hundred thousand, eight hundred".