10100036350800 has 1680 divisors, whose sum is σ = 40854837640896. Its totient is φ = 2397403008000.

The previous prime is 10100036350759. The next prime is 10100036350813. The reversal of 10100036350800 is 805363000101.

10100036350800 is a `hidden beast` number, since 10 + 10 + 0 + 0 + 3 + 635 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 20570338555 + ... + 20570339045.

Almost surely, 2^{10100036350800} is an apocalyptic number.

10100036350800 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 10100036350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427418820448).

10100036350800 is an abundant number, since it is smaller than the sum of its proper divisors (30754801290096).

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

10100036350800 is an equidigital number, since it uses as much as digits as its factorization.

10100036350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10100036350800 its reverse (805363000101), we get a palindrome (10905399350901).

The spelling of 10100036350800 in words is "ten trillion, one hundred billion, thirty-six million, three hundred fifty thousand, eight hundred".