100144214331120 has 60 divisors (see below), whose sum is σ = 336317653131096. Its totient is φ = 26705123821440.

The previous prime is 100144214331037. The next prime is 100144214331121. The reversal of 100144214331120 is 21133412441001.

It is a happy number.

100144214331120 is a `hidden beast` number, since 100 + 1 + 4 + 4 + 2 + 1 + 433 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144214331121) 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, 69544592566 + ... + 69544594005.

Almost surely, 2^{100144214331120} is an apocalyptic number.

100144214331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100144214331120 is an abundant number, since it is smaller than the sum of its proper divisors (236173438799976).

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

100144214331120 is a wasteful number, since it uses less digits than its factorization.

100144214331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139089186590 (or 139089186581 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 100144214331120 its reverse (21133412441001), we get a palindrome (121277626772121).

The spelling of 100144214331120 in words is "one hundred trillion, one hundred forty-four billion, two hundred fourteen million, three hundred thirty-one thousand, one hundred twenty".