100414021443104 has 48 divisors (see below), whose sum is σ = 210000755387808. Its totient is φ = 47099736364032.

The previous prime is 100414021443103. The next prime is 100414021443137. The reversal of 100414021443104 is 401344120414001.

It is a happy number.

It is a super-2 number, since 2×100414021443104² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100414021443103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300459374 + ... + 300793389.

It is an arithmetic number, because the mean of its divisors is an integer number (4375015737246).

Almost surely, 2^{100414021443104} is an apocalyptic number.

It is an amenable number.

100414021443104 is an abundant number, since it is smaller than the sum of its proper divisors (109586733944704).

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

100414021443104 is a wasteful number, since it uses less digits than its factorization.

100414021443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601253097 (or 601253089 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 100414021443104 its reverse (401344120414001), we get a palindrome (501758141857105).

The spelling of 100414021443104 in words is "one hundred trillion, four hundred fourteen billion, twenty-one million, four hundred forty-three thousand, one hundred four".