101044144004232 has 192 divisors, whose sum is σ = 313214732228160. Its totient is φ = 26776511884800.

The previous prime is 101044144004173. The next prime is 101044144004233. The reversal of 101044144004232 is 232400441440101.

It is a happy number.

101044144004232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101044144004232.

It is not an unprimeable number, because it can be changed into a prime (101044144004233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39539119 + ... + 42017022.

It is an arithmetic number, because the mean of its divisors is an integer number (1631326730355).

Almost surely, 2^{101044144004232} is an apocalyptic number.

101044144004232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101044144004232 is an abundant number, since it is smaller than the sum of its proper divisors (212170588223928).

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

101044144004232 is a wasteful number, since it uses less digits than its factorization.

101044144004232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81556212 (or 81556189 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 101044144004232 its reverse (232400441440101), we get a palindrome (333444585444333).

The spelling of 101044144004232 in words is "one hundred one trillion, forty-four billion, one hundred forty-four million, four thousand, two hundred thirty-two".