1100111201100 has 288 divisors, whose sum is σ = 3728428032000. Its totient is φ = 277858252800.

The previous prime is 1100111201083. The next prime is 1100111201107. The reversal of 1100111201100 is 11021110011.

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

It is not an unprimeable number, because it can be changed into a prime (1100111201107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3794076 + ... + 4073724.

Almost surely, 2^{1100111201100} is an apocalyptic number.

1100111201100 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 1100111201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864214016000).

1100111201100 is an abundant number, since it is smaller than the sum of its proper divisors (2628316830900).

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

1100111201100 is a wasteful number, since it uses less digits than its factorization.

1100111201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279750 (or 279737 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1100111201100 its reverse (11021110011), we get a palindrome (1111132311111).

The spelling of 1100111201100 in words is "one trillion, one hundred billion, one hundred eleven million, two hundred one thousand, one hundred".