1101101101100 has 432 divisors, whose sum is σ = 3264769249728. Its totient is φ = 313632000000.

The previous prime is 1101101101099. The next prime is 1101101101147. The reversal of 1101101101100 is 11011011011.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111206150 + ... + 111216050.

Almost surely, 2^{1101101101100} is an apocalyptic number.

1101101101100 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 1101101101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632384624864).

1101101101100 is an abundant number, since it is smaller than the sum of its proper divisors (2163668148628).

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

1101101101100 is a wasteful number, since it uses less digits than its factorization.

1101101101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10058 (or 10040 counting only the distinct ones).

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

Adding to 1101101101100 its reverse (11011011011), we get a palindrome (1112112112111).

1101101101100 divided by its reverse (11011011011) gives a square (100 = 10²).

It can be divided in two parts, 1 and 101101101100, that added together give a palindrome (101101101101).

The spelling of 1101101101100 in words is "one trillion, one hundred one billion, one hundred one million, one hundred one thousand, one hundred".