1101121010112 has 112 divisors (see below), whose sum is σ = 2963423364480. Its totient is φ = 360738782208.

The previous prime is 1101121010111. The next prime is 1101121010131. The reversal of 1101121010112 is 2110101211011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101121010111) 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 15 ways as a sum of consecutive naturals, for example, 71619258 + ... + 71634630.

Almost surely, 2^{1101121010112} is an apocalyptic number.

1101121010112 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 1101121010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481711682240).

1101121010112 is an abundant number, since it is smaller than the sum of its proper divisors (1862302354368).

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

1101121010112 is a wasteful number, since it uses less digits than its factorization.

1101121010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21770 (or 21760 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1101121010112 its reverse (2110101211011), we get a palindrome (3211222221123).

The spelling of 1101121010112 in words is "one trillion, one hundred one billion, one hundred twenty-one million, ten thousand, one hundred twelve".