100312234312240 has 80 divisors (see below), whose sum is σ = 233363903040000. Its totient is φ = 40101162759936.

The previous prime is 100312234312183. The next prime is 100312234312243. The reversal of 100312234312240 is 42213432213001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 100312234312199 and 100312234312208.

It is not an unprimeable number, because it can be changed into a prime (100312234312243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2363436459 + ... + 2363478901.

It is an arithmetic number, because the mean of its divisors is an integer number (2917048788000).

Almost surely, 2^{100312234312240} is an apocalyptic number.

100312234312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312234312240 is an abundant number, since it is smaller than the sum of its proper divisors (133051668727760).

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

100312234312240 is a wasteful number, since it uses less digits than its factorization.

100312234312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59234 (or 59228 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 100312234312240 its reverse (42213432213001), we get a palindrome (142525666525241).

The spelling of 100312234312240 in words is "one hundred trillion, three hundred twelve billion, two hundred thirty-four million, three hundred twelve thousand, two hundred forty".