1101000001000 has 64 divisors (see below), whose sum is σ = 2577468937680. Its totient is φ = 440207020800.

The previous prime is 1101000000943. The next prime is 1101000001019. The reversal of 1101000001000 is 1000001011.

It can be written as a sum of positive squares in 8 ways, for example, as 17781155716 + 1083218845284 = 133346^2 + 1040778^2 .

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2052922 + ... + 2533078.

Almost surely, 2^{1101000001000} is an apocalyptic number.

1101000001000 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 1101000001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288734468840).

1101000001000 is an abundant number, since it is smaller than the sum of its proper divisors (1476468936680).

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

1101000001000 is a wasteful number, since it uses less digits than its factorization.

1101000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482471 (or 482457 counting only the distinct ones).

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

Adding to 1101000001000 its reverse (1000001011), we get a palindrome (1102000002011).

The spelling of 1101000001000 in words is "one trillion, one hundred one billion, one thousand".