100240144000000 has 231 divisors, whose sum is σ = 250574900236941. Its totient is φ = 40080038400000.

The previous prime is 100240143999971. The next prime is 100240144000021. The reversal of 100240144000000 is 441042001.

The square root of 100240144000000 is 10012000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 87819989197824 + 12420154802176 = 9371232^2 + 3524224^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 40047998749 + ... + 40048001251.

Almost surely, 2^{100240144000000} is an apocalyptic number.

100240144000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100240144000000 is the 10012000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100240144000000

100240144000000 is an abundant number, since it is smaller than the sum of its proper divisors (150334756236941).

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

100240144000000 is an frugal number, since it uses more digits than its factorization.

100240144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

100240144000000 divided by its sum of digits (16) gives a square (6265009000000 = 2503000²).

Adding to 100240144000000 its reverse (441042001), we get a palindrome (100240585042001).

The spelling of 100240144000000 in words is "one hundred trillion, two hundred forty billion, one hundred forty-four million", and thus it is an aban number.