100512240000 has 320 divisors, whose sum is σ = 338254411440. Its totient is φ = 26431488000.

The previous prime is 100512239977. The next prime is 100512240089. The reversal of 100512240000 is 42215001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17517132 + ... + 17522868.

Almost surely, 2^100512240000 is an apocalyptic number.

100512240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100512240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169127205720).

100512240000 is an abundant number, since it is smaller than the sum of its proper divisors (237742171440).

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

100512240000 is an frugal number, since it uses more digits than its factorization.

100512240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 100512240000 its reverse (42215001), we get a palindrome (100554455001).

The spelling of 100512240000 in words is "one hundred billion, five hundred twelve million, two hundred forty thousand".