1100112210120 has 256 divisors, whose sum is σ = 4125462036480. Its totient is φ = 227997158400.

The previous prime is 1100112210097. The next prime is 1100112210173. The reversal of 1100112210120 is 210122110011.

It is a super-2 number, since 2×1100112210120² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100112210096 and 1100112210105.

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, 3383490 + ... + 3694350.

It is an arithmetic number, because the mean of its divisors is an integer number (16115086080).

Almost surely, 2^{1100112210120} is an apocalyptic number.

1100112210120 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 1100112210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062731018240).

1100112210120 is an abundant number, since it is smaller than the sum of its proper divisors (3025349826360).

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

1100112210120 is a wasteful number, since it uses less digits than its factorization.

1100112210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311276 (or 311272 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100112210120 its reverse (210122110011), we get a palindrome (1310234320131).

The spelling of 1100112210120 in words is "one trillion, one hundred billion, one hundred twelve million, two hundred ten thousand, one hundred twenty".