1111100001111 has 16 divisors (see below), whose sum is σ = 1646140127200. Its totient is φ = 740703610944.

The previous prime is 1111100001097. The next prime is 1111100001119. The reversal of 1111100001111 is 1111000011111.

It is not a de Polignac number, because 1111100001111 - 2¹⁷ = 1111099870039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1111100001093 and 1111100001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111100001119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129646 + ... + 1496331.

It is an arithmetic number, because the mean of its divisors is an integer number (102883757950).

Almost surely, 2^{1111100001111} is an apocalyptic number.

1111100001111 is a deficient number, since it is larger than the sum of its proper divisors (535040126089).

1111100001111 is a wasteful number, since it uses less digits than its factorization.

1111100001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651295 (or 1651289 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1111100001111 its reverse (1111000011111), we get a palindrome (2222100012222).

It can be divided in two parts, 111110000 and 1111, that added together give a palindrome (111111111).

The spelling of 1111100001111 in words is "one trillion, one hundred eleven billion, one hundred million, one thousand, one hundred eleven".