1101111111100 has 144 divisors (see below), whose sum is σ = 3208160664576. Its totient is φ = 316803168000.

The previous prime is 1101111111071. The next prime is 1101111111103. The reversal of 1101111111100 is 11111111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111111103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5399956 + ... + 5600155.

It is an arithmetic number, because the mean of its divisors is an integer number (22278893504).

Almost surely, 2^{1101111111100} is an apocalyptic number.

1101111111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101111111100 is an abundant number, since it is smaller than the sum of its proper divisors (2107049553476).

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

1101111111100 is a wasteful number, since it uses less digits than its factorization.

1101111111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11000156 (or 11000149 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 1101111111100 its reverse (11111111011), we get a palindrome (1112222222111).

It can be divided in two parts, 11011 and 11111100, that added together give a palindrome (11122111).

The spelling of 1101111111100 in words is "one trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred".