10001104043200 has 336 divisors, whose sum is σ = 25291066268160. Its totient is φ = 3891380613120.

The previous prime is 10001104043131. The next prime is 10001104043213. The reversal of 10001104043200 is 234040110001.

It is a super-2 number, since 2×10001104043200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2935455897 + ... + 2935459303.

It is an arithmetic number, because the mean of its divisors is an integer number (75271030560).

Almost surely, 2^{10001104043200} is an apocalyptic number.

10001104043200 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 10001104043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645533134080).

10001104043200 is an abundant number, since it is smaller than the sum of its proper divisors (15289962224960).

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

10001104043200 is a wasteful number, since it uses less digits than its factorization.

10001104043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10001104043200 its reverse (234040110001), we get a palindrome (10235144153201).

The spelling of 10001104043200 in words is "ten trillion, one billion, one hundred four million, forty-three thousand, two hundred".