100011001100000 has 144 divisors (see below), whose sum is σ = 259057974697200. Its totient is φ = 37898904960000.

The previous prime is 100011001099993. The next prime is 100011001100009. The reversal of 100011001100000 is 1100110001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011001100009) 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 23 ways as a sum of consecutive naturals, for example, 24418685 + ... + 28218684.

It is an arithmetic number, because the mean of its divisors is an integer number (1799013713175).

Almost surely, 2^{100011001100000} is an apocalyptic number.

100011001100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011001100000 is an abundant number, since it is smaller than the sum of its proper divisors (159046973597200).

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

100011001100000 is an frugal number, since it uses more digits than its factorization.

100011001100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52637423 (or 52637395 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100011001100000 its reverse (1100110001), we get a palindrome (100012101210001).

It can be divided in two parts, 100011001 and 100000, that added together give a palindrome (100111001).

The spelling of 100011001100000 in words is "one hundred trillion, eleven billion, one million, one hundred thousand".