10041111113202 has 144 divisors (see below), whose sum is σ = 23620719400200. Its totient is φ = 3081356328960.

The previous prime is 10041111113183. The next prime is 10041111113219. The reversal of 10041111113202 is 20231111114001.

10041111113202 is a `hidden beast` number, since 10 + 0 + 411 + 111 + 132 + 0 + 2 = 666.

10041111113202 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 12 ways, for example, as 3536208791361 + 6504902321841 = 1880481^2 + 2550471^2 .

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 71 ways as a sum of consecutive naturals, for example, 3734141874 + ... + 3734144562.

Almost surely, 2^{10041111113202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041111113202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11810359700100).

10041111113202 is an abundant number, since it is smaller than the sum of its proper divisors (13579608286998).

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

10041111113202 is a wasteful number, since it uses less digits than its factorization.

10041111113202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10041111113202 its reverse (20231111114001), we get a palindrome (30272222227203).

The spelling of 10041111113202 in words is "ten trillion, forty-one billion, one hundred eleven million, one hundred thirteen thousand, two hundred two".