101344434224000 has 128 divisors (see below), whose sum is σ = 274873745484000. Its totient is φ = 36852521472000.

The previous prime is 101344434223937. The next prime is 101344434224119. The reversal of 101344434224000 is 422434443101.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287734325 + ... + 288086324.

Almost surely, 2^{101344434224000} is an apocalyptic number.

101344434224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101344434224000 is an abundant number, since it is smaller than the sum of its proper divisors (173529311260000).

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

101344434224000 is an equidigital number, since it uses as much as digits as its factorization.

101344434224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575820689 (or 575820667 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 101344434224000 its reverse (422434443101), we get a palindrome (101766868667101).

The spelling of 101344434224000 in words is "one hundred one trillion, three hundred forty-four billion, four hundred thirty-four million, two hundred twenty-four thousand".