1101121110 has 192 divisors, whose sum is σ = 3180632832. Its totient is φ = 263098368.

The previous prime is 1101121061. The next prime is 1101121121. The reversal of 1101121110 is 111211011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1101121092 and 1101121101.

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 95 ways as a sum of consecutive naturals, for example, 3000147 + ... + 3000513.

It is an arithmetic number, because the mean of its divisors is an integer number (16565796).

Almost surely, 2^1101121110 is an apocalyptic number.

1101121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590316416).

1101121110 is an abundant number, since it is smaller than the sum of its proper divisors (2079511722).

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

1101121110 is a wasteful number, since it uses less digits than its factorization.

1101121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 484 counting only the distinct ones).

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

The square root of 1101121110 is about 33183.1449684927. The cubic root of 1101121110 is about 1032.6306932179.

Adding to 1101121110 its reverse (111211011), we get a palindrome (1212332121).

The spelling of 1101121110 in words is "one billion, one hundred one million, one hundred twenty-one thousand, one hundred ten".