1111132100 has 72 divisors (see below), whose sum is σ = 2686260360. Its totient is φ = 396103680.

The previous prime is 1111132097. The next prime is 1111132133. The reversal of 1111132100 is 12311111.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 634233856 + 476898244 = 25184^2 + 21838^2 .

It is a super-2 number, since 2×1111132100² = 2469229087300820000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22964 + ... + 52436.

Almost surely, 2^1111132100 is an apocalyptic number.

1111132100 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 1111132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343130180).

1111132100 is an abundant number, since it is smaller than the sum of its proper divisors (1575128260).

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

1111132100 is a wasteful number, since it uses less digits than its factorization.

1111132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29529 (or 29522 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1111132100 is about 33333.6481651799. The cubic root of 1111132100 is about 1035.7506903460.

Adding to 1111132100 its reverse (12311111), we get a palindrome (1123443211).

The spelling of 1111132100 in words is "one billion, one hundred eleven million, one hundred thirty-two thousand, one hundred".