1121110110000 has 300 divisors, whose sum is σ = 3923195956680. Its totient is φ = 298771200000.

The previous prime is 1121110109981. The next prime is 1121110110007. The reversal of 1121110110000 is 110111211.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1121110110007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 191607075 + ... + 191612925.

Almost surely, 2^{1121110110000} is an apocalyptic number.

1121110110000 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 1121110110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961597978340).

1121110110000 is an abundant number, since it is smaller than the sum of its proper divisors (2802085846680).

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

1121110110000 is a wasteful number, since it uses less digits than its factorization.

1121110110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1121110110000 its reverse (110111211), we get a palindrome (1121220221211).

The spelling of 1121110110000 in words is "one trillion, one hundred twenty-one billion, one hundred ten million, one hundred ten thousand".