1100112100 has 108 divisors (see below), whose sum is σ = 2516061184. Its totient is φ = 417432960.

The previous prime is 1100112037. The next prime is 1100112121. The reversal of 1100112100 is 12110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8662237 + ... + 8662363.

Almost surely, 2^1100112100 is an apocalyptic number.

1100112100 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 1100112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258030592).

1100112100 is an abundant number, since it is smaller than the sum of its proper divisors (1415949084).

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

1100112100 is a wasteful number, since it uses less digits than its factorization.

1100112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1100112100 is about 33167.9378315867. The cubic root of 1100112100 is about 1032.3151805080.

Adding to 1100112100 its reverse (12110011), we get a palindrome (1112222111).

The spelling of 1100112100 in words is "one billion, one hundred million, one hundred twelve thousand, one hundred".