1101111012 has 72 divisors (see below), whose sum is σ = 2962375416. Its totient is φ = 343655424.

The previous prime is 1101110963. The next prime is 1101111013. The reversal of 1101111012 is 2101111011.

It can be written as a sum of positive squares in 4 ways, for example, as 801682596 + 299428416 = 28314^2 + 17304^2 .

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 = 1101110985 and 1101111003.

It is not an unprimeable number, because it can be changed into a prime (1101111013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115998 + ... + 125130.

It is an arithmetic number, because the mean of its divisors is an integer number (41144103).

Almost surely, 2^1101111012 is an apocalyptic number.

1101111012 is a gapful number since it is divisible by the number (12) 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 1101111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481187708).

1101111012 is an abundant number, since it is smaller than the sum of its proper divisors (1861264404).

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

1101111012 is a wasteful number, since it uses less digits than its factorization.

1101111012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9357 (or 9352 counting only the distinct ones).

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

The square root of 1101111012 is about 33182.9928125840. The cubic root of 1101111012 is about 1032.6275365755.

Adding to 1101111012 its reverse (2101111011), we get a palindrome (3202222023).

Subtracting 1101111012 from its reverse (2101111011), we obtain a palindrome (999999999).

The spelling of 1101111012 in words is "one billion, one hundred one million, one hundred eleven thousand, twelve".