10320144042100 has 72 divisors (see below), whose sum is σ = 23674555981440. Its totient is φ = 3894006746880.

The previous prime is 10320144042029. The next prime is 10320144042127. The reversal of 10320144042100 is 124044102301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11213212 + ... + 12098611.

It is an arithmetic number, because the mean of its divisors is an integer number (328813277520).

Almost surely, 2^{10320144042100} is an apocalyptic number.

10320144042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320144042100 is an abundant number, since it is smaller than the sum of its proper divisors (13354411939340).

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

10320144042100 is a wasteful number, since it uses less digits than its factorization.

10320144042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23312089 (or 23312082 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10320144042100 its reverse (124044102301), we get a palindrome (10444188144401).

The spelling of 10320144042100 in words is "ten trillion, three hundred twenty billion, one hundred forty-four million, forty-two thousand, one hundred".