1111001111100 has 90 divisors (see below), whose sum is σ = 3601426714424. Its totient is φ = 296266960800.

The previous prime is 1111001111081. The next prime is 1111001111159. The reversal of 1111001111100 is 11111001111.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 68572216 + ... + 68588415.

Almost surely, 2^{1111001111100} is an apocalyptic number.

1111001111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111001111100 is an abundant number, since it is smaller than the sum of its proper divisors (2490425603324).

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

1111001111100 is a wasteful number, since it uses less digits than its factorization.

1111001111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137160657 (or 137160641 counting only the distinct ones).

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

Adding to 1111001111100 its reverse (11111001111), we get a palindrome (1122112112211).

The spelling of 1111001111100 in words is "one trillion, one hundred eleven billion, one million, one hundred eleven thousand, one hundred".