100144534221 has 64 divisors (see below), whose sum is σ = 161228588800. Its totient is φ = 61218643968.

The previous prime is 100144534219. The next prime is 100144534249. The reversal of 100144534221 is 122435441001.

100144534221 is a `hidden beast` number, since 100 + 1 + 4 + 4 + 534 + 2 + 21 = 666.

It is not a de Polignac number, because 100144534221 - 2¹ = 100144534219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100144534421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3649665 + ... + 3677001.

It is an arithmetic number, because the mean of its divisors is an integer number (2519196700).

Almost surely, 2^100144534221 is an apocalyptic number.

It is an amenable number.

100144534221 is a deficient number, since it is larger than the sum of its proper divisors (61084054579).

100144534221 is a wasteful number, since it uses less digits than its factorization.

100144534221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27595 (or 27589 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 100144534221 its reverse (122435441001), we get a palindrome (222579975222).

The spelling of 100144534221 in words is "one hundred billion, one hundred forty-four million, five hundred thirty-four thousand, two hundred twenty-one".