10041213001104 has 240 divisors, whose sum is σ = 29269290239280. Its totient is φ = 3209591992320.

The previous prime is 10041213001097. The next prime is 10041213001163. The reversal of 10041213001104 is 40110031214001.

10041213001104 is a `hidden beast` number, since 10 + 0 + 412 + 130 + 0 + 110 + 4 = 666.

10041213001104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 86859878400 + 9954353122704 = 294720^2 + 3155052^2 .

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

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, 737612602 + ... + 737626214.

It is an arithmetic number, because the mean of its divisors is an integer number (121955375997).

Almost surely, 2^{10041213001104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041213001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634645119640).

10041213001104 is an abundant number, since it is smaller than the sum of its proper divisors (19228077238176).

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

10041213001104 is a wasteful number, since it uses less digits than its factorization.

10041213001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14850 (or 14841 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10041213001104 its reverse (40110031214001), we get a palindrome (50151244215105).

The spelling of 10041213001104 in words is "ten trillion, forty-one billion, two hundred thirteen million, one thousand, one hundred four".