10001101111000 has 128 divisors (see below), whose sum is σ = 23575118636160. Its totient is φ = 3971012160000.

The previous prime is 10001101110983. The next prime is 10001101111009. The reversal of 10001101111000 is 11110110001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101111009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122370150 + ... + 122451850.

It is an arithmetic number, because the mean of its divisors is an integer number (184180614345).

Almost surely, 2^{10001101111000} is an apocalyptic number.

10001101111000 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 10001101111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787559318080).

10001101111000 is an abundant number, since it is smaller than the sum of its proper divisors (13574017525160).

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

10001101111000 is a wasteful number, since it uses less digits than its factorization.

10001101111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82622 (or 82608 counting only the distinct ones).

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

Adding to 10001101111000 its reverse (11110110001), we get a palindrome (10012211221001).

The spelling of 10001101111000 in words is "ten trillion, one billion, one hundred one million, one hundred eleven thousand".