100344134121440 has 72 divisors (see below), whose sum is σ = 260573398749720. Its totient is φ = 36488776037120.

The previous prime is 100344134121367. The next prime is 100344134121443. The reversal of 100344134121440 is 44121431443001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 100344134121397 and 100344134121406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100344134121443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2591513030 + ... + 2591551749.

It is an arithmetic number, because the mean of its divisors is an integer number (3619074982635).

Almost surely, 2^{100344134121440} is an apocalyptic number.

100344134121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100344134121440 is an abundant number, since it is smaller than the sum of its proper divisors (160229264628280).

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

100344134121440 is a wasteful number, since it uses less digits than its factorization.

100344134121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183064816 (or 5183064797 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 100344134121440 its reverse (44121431443001), we get a palindrome (144465565564441).

The spelling of 100344134121440 in words is "one hundred trillion, three hundred forty-four billion, one hundred thirty-four million, one hundred twenty-one thousand, four hundred forty".