1121311100 has 216 divisors, whose sum is σ = 3158547840. Its totient is φ = 342074880.

The previous prime is 1121311097. The next prime is 1121311133. The reversal of 1121311100 is 11131211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1846997 + ... + 1847603.

Almost surely, 2^1121311100 is an apocalyptic number.

1121311100 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 1121311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579273920).

1121311100 is an abundant number, since it is smaller than the sum of its proper divisors (2037236740).

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

1121311100 is a wasteful number, since it uses less digits than its factorization.

1121311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 663 counting only the distinct ones).

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

The square root of 1121311100 is about 33485.9836349479. The cubic root of 1121311100 is about 1038.9038932424.

Adding to 1121311100 its reverse (11131211), we get a palindrome (1132442311).

The spelling of 1121311100 in words is "one billion, one hundred twenty-one million, three hundred eleven thousand, one hundred".