444120302102100 has 72 divisors (see below), whose sum is σ = 1383833310562080. Its totient is φ = 109321920516480.

The previous prime is 444120302102093. The next prime is 444120302102119. The reversal of 444120302102100 is 1201203021444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56938496370 + ... + 56938504169.

It is an arithmetic number, because the mean of its divisors is an integer number (19219907091140).

Almost surely, 2^{444120302102100} is an apocalyptic number.

It is an amenable number.

444120302102100 is an abundant number, since it is smaller than the sum of its proper divisors (939713008459980).

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

444120302102100 is a wasteful number, since it uses less digits than its factorization.

444120302102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113877000569 (or 113877000562 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 444120302102100 its reverse (1201203021444), we get a palindrome (445321505123544).

The spelling of 444120302102100 in words is "four hundred forty-four trillion, one hundred twenty billion, three hundred two million, one hundred two thousand, one hundred".