1100100001000 has 1024 divisors, whose sum is σ = 3592802304000. Its totient is φ = 304280064000.

The previous prime is 1100100000991. The next prime is 1100100001001. The reversal of 1100100001000 is 1000010011.

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 (1100100001001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3152148826 + ... + 3152149174.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596000).

Almost surely, 2^{1100100001000} is an apocalyptic number.

1100100001000 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 1100100001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796401152000).

1100100001000 is an abundant number, since it is smaller than the sum of its proper divisors (2492702303000).

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

1100100001000 is a wasteful number, since it uses less digits than its factorization.

1100100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

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

Adding to 1100100001000 its reverse (1000010011), we get a palindrome (1101100011011).

It can be divided in two parts, 1 and 100100001000, that added together give a palindrome (100100001001).

The spelling of 1100100001000 in words is "one trillion, one hundred billion, one hundred million, one thousand".