1101111011100 has 180 divisors, whose sum is σ = 3585096960984. Its totient is φ = 292335592320.

The previous prime is 1101111011083. The next prime is 1101111011141. The reversal of 1101111011100 is 11101111011.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1539274 + ... + 2138126.

Almost surely, 2^{1101111011100} is an apocalyptic number.

1101111011100 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 1101111011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792548480492).

1101111011100 is an abundant number, since it is smaller than the sum of its proper divisors (2483985949884).

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

1101111011100 is a wasteful number, since it uses less digits than its factorization.

1101111011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599106 (or 599090 counting only the distinct ones).

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

Adding to 1101111011100 its reverse (11101111011), we get a palindrome (1112212122111).

It can be divided in two parts, 110111 and 1011100, that added together give a palindrome (1121211).

The spelling of 1101111011100 in words is "one trillion, one hundred one billion, one hundred eleven million, eleven thousand, one hundred".