100775312000 has 128 divisors (see below), whose sum is σ = 273330607680. Its totient is φ = 36645504000.

The previous prime is 100775311963. The next prime is 100775312009. The reversal of 100775312000 is 213577001.

100775312000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (100775312009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 110294 + ... + 462293.

Almost surely, 2^100775312000 is an apocalyptic number.

100775312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100775312000 is an abundant number, since it is smaller than the sum of its proper divisors (172555295680).

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

100775312000 is an equidigital number, since it uses as much as digits as its factorization.

100775312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572627 (or 572605 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

Adding to 100775312000 its reverse (213577001), we get a palindrome (100988889001).

The spelling of 100775312000 in words is "one hundred billion, seven hundred seventy-five million, three hundred twelve thousand".