1116102000 has 320 divisors, whose sum is σ = 3980995200. Its totient is φ = 267264000.

The previous prime is 1116101981. The next prime is 1116102011. The reversal of 1116102000 is 2016111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3197826 + ... + 3198174.

It is an arithmetic number, because the mean of its divisors is an integer number (12440610).

Almost surely, 2^1116102000 is an apocalyptic number.

1116102000 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 1116102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990497600).

1116102000 is an abundant number, since it is smaller than the sum of its proper divisors (2864893200).

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

1116102000 is a wasteful number, since it uses less digits than its factorization.

1116102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1116102000 is about 33408.1127871659. The cubic root of 1116102000 is about 1037.2926377082.

Adding to 1116102000 its reverse (2016111), we get a palindrome (1118118111).

The spelling of 1116102000 in words is "one billion, one hundred sixteen million, one hundred two thousand".