100233240322512 has 320 divisors, whose sum is σ = 295892061696000. Its totient is φ = 28941326684160.

The previous prime is 100233240322463. The next prime is 100233240322517. The reversal of 100233240322512 is 215223042332001.

It is a self number, because there is not a number n which added to its sum of digits gives 100233240322512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100233240322517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10848922789 + ... + 10848932027.

It is an arithmetic number, because the mean of its divisors is an integer number (924662692800).

Almost surely, 2^{100233240322512} is an apocalyptic number.

100233240322512 is a gapful number since it is divisible by the number (12) 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 100233240322512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147946030848000).

100233240322512 is an abundant number, since it is smaller than the sum of its proper divisors (195658821373488).

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

100233240322512 is a wasteful number, since it uses less digits than its factorization.

100233240322512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12626 (or 12620 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 100233240322512 its reverse (215223042332001), we get a palindrome (315456282654513).

The spelling of 100233240322512 in words is "one hundred trillion, two hundred thirty-three billion, two hundred forty million, three hundred twenty-two thousand, five hundred twelve".