1001000001100 has 72 divisors (see below), whose sum is σ = 2393102050416. Its totient is φ = 360396000000.

The previous prime is 1001000001073. The next prime is 1001000001107. The reversal of 1001000001100 is 11000001001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1001000001100.

It is not an unprimeable number, because it can be changed into a prime (1001000001107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4393851 + ... + 4616050.

It is an arithmetic number, because the mean of its divisors is an integer number (33237528478).

Almost surely, 2^{1001000001100} is an apocalyptic number.

1001000001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001000001100 is an abundant number, since it is smaller than the sum of its proper divisors (1392102049316).

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

1001000001100 is a wasteful number, since it uses less digits than its factorization.

1001000001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010027 (or 9010020 counting only the distinct ones).

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

Adding to 1001000001100 its reverse (11000001001), we get a palindrome (1012000002101).

Subtracting from 1001000001100 its reverse (11000001001), we obtain a palindrome (990000000099).

The spelling of 1001000001100 in words is "one trillion, one billion, one thousand, one hundred".