100013112141404 has 192 divisors, whose sum is σ = 239902072704000. Its totient is φ = 35277751971840.

The previous prime is 100013112141401. The next prime is 100013112141407. The reversal of 100013112141404 is 404141211310001.

It is an interprime number because it is at equal distance from previous prime (100013112141401) and next prime (100013112141407).

It is a self number, because there is not a number n which added to its sum of digits gives 100013112141404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013112141401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39621767 + ... + 42070305.

It is an arithmetic number, because the mean of its divisors is an integer number (1249489962000).

Almost surely, 2^{100013112141404} is an apocalyptic number.

100013112141404 is a gapful number since it is divisible by the number (14) 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 100013112141404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119951036352000).

100013112141404 is an abundant number, since it is smaller than the sum of its proper divisors (139888960562596).

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

100013112141404 is a wasteful number, since it uses less digits than its factorization.

100013112141404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448876 (or 2448874 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 100013112141404 its reverse (404141211310001), we get a palindrome (504154323451405).

The spelling of 100013112141404 in words is "one hundred trillion, thirteen billion, one hundred twelve million, one hundred forty-one thousand, four hundred four".