101144201344424 has 48 divisors (see below), whose sum is σ = 224224410945780. Its totient is φ = 42636899854080.

The previous prime is 101144201344321. The next prime is 101144201344429. The reversal of 101144201344424 is 424443102441101.

It can be written as a sum of positive squares in 2 ways, for example, as 71422274368900 + 29721926975524 = 8451170^2 + 5451782^2 .

It is not an unprimeable number, because it can be changed into a prime (101144201344429) 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, 2114901677 + ... + 2114949500.

Almost surely, 2^{101144201344424} is an apocalyptic number.

101144201344424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101144201344424 is an abundant number, since it is smaller than the sum of its proper divisors (123080209601356).

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

101144201344424 is a wasteful number, since it uses less digits than its factorization.

101144201344424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229851258 (or 4229851247 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 101144201344424 its reverse (424443102441101), we get a palindrome (525587303785525).

The spelling of 101144201344424 in words is "one hundred one trillion, one hundred forty-four billion, two hundred one million, three hundred forty-four thousand, four hundred twenty-four".