1100100100 has 72 divisors (see below), whose sum is σ = 2688327936. Its totient is φ = 387120000.

The previous prime is 1100100091. The next prime is 1100100121. The reversal of 1100100100 is 10010011.

It is a Harshad number since it is a multiple of its sum of digits (4).

1100100100 is a modest number, since divided by 100100 gives 1100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1100100100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17970 + ... + 50230.

It is an arithmetic number, because the mean of its divisors is an integer number (37337888).

Almost surely, 2^1100100100 is an apocalyptic number.

1100100100 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 1100100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344163968).

1100100100 is an abundant number, since it is smaller than the sum of its proper divisors (1588227836).

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

1100100100 is a wasteful number, since it uses less digits than its factorization.

1100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32317 (or 32310 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1100100100 is about 33167.7569335040. The cubic root of 1100100100 is about 1032.3114270034.

Adding to 1100100100 its reverse (10010011), we get a palindrome (1110110111).

The spelling of 1100100100 in words is "one billion, one hundred million, one hundred thousand, one hundred".