1001111101100 has 576 divisors, whose sum is σ = 2636442006912. Its totient is φ = 325877760000.

The previous prime is 1001111101087. The next prime is 1001111101121. The reversal of 1001111101100 is 11011111001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7307380232 + ... + 7307380368.

It is an arithmetic number, because the mean of its divisors is an integer number (4577156262).

Almost surely, 2^{1001111101100} is an apocalyptic number.

1001111101100 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 1001111101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318221003456).

1001111101100 is an abundant number, since it is smaller than the sum of its proper divisors (1635330905812).

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

1001111101100 is a wasteful number, since it uses less digits than its factorization.

1001111101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1001111101100 its reverse (11011111001), we get a palindrome (1012122212101).

Subtracting from 1001111101100 its reverse (11011111001), we obtain a palindrome (990099990099).

It can be divided in two parts, 10011 and 11101100, that added together give a palindrome (11111111).

The spelling of 1001111101100 in words is "one trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred".