100000001101000 has 768 divisors, whose sum is σ = 320200146040320. Its totient is φ = 28734531840000.

The previous prime is 100000001100973. The next prime is 100000001101001. The reversal of 100000001101000 is 101100000001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is not an unprimeable number, because it can be changed into a prime (100000001101001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5752738309 + ... + 5752755691.

It is an arithmetic number, because the mean of its divisors is an integer number (416927273490).

Almost surely, 2^{100000001101000} is an apocalyptic number.

100000001101000 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 100000001101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160100073020160).

100000001101000 is an abundant number, since it is smaller than the sum of its proper divisors (220200144939320).

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

100000001101000 is a wasteful number, since it uses less digits than its factorization.

100000001101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18263 (or 18242 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000001101000 its reverse (101100000001), we get a palindrome (100101101101001).

It can be divided in two parts, 100000001 and 101000, that added together give a palindrome (100101001).

The spelling of 100000001101000 in words is "one hundred trillion, one million, one hundred one thousand".