100011100111000 has 128 divisors (see below), whose sum is σ = 252091063224000. Its totient is φ = 36917931340800.

The previous prime is 100011100110997. The next prime is 100011100111003. The reversal of 100011100111000 is 111001110001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100011100110997) and next prime (100011100111003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011100111003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51078076 + ... + 52999924.

Almost surely, 2^{100011100111000} is an apocalyptic number.

100011100111000 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 100011100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126045531612000).

100011100111000 is an abundant number, since it is smaller than the sum of its proper divisors (152079963113000).

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

100011100111000 is a wasteful number, since it uses less digits than its factorization.

100011100111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925886 (or 1925872 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100011100111000 its reverse (111001110001), we get a palindrome (100122101221001).

Subtracting from 100011100111000 its reverse (111001110001), we obtain a palindrome (99900099000999).

The spelling of 100011100111000 in words is "one hundred trillion, eleven billion, one hundred million, one hundred eleven thousand".