1101101222112 has 96 divisors (see below), whose sum is σ = 2911415270400. Its totient is φ = 364366717440.

The previous prime is 1101101222077. The next prime is 1101101222113. The reversal of 1101101222112 is 2112221011011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1101101222091 and 1101101222100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101222113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26742213 + ... + 26783355.

It is an arithmetic number, because the mean of its divisors is an integer number (30327242400).

Almost surely, 2^{1101101222112} is an apocalyptic number.

1101101222112 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 1101101222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455707635200).

1101101222112 is an abundant number, since it is smaller than the sum of its proper divisors (1810314048288).

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

1101101222112 is a wasteful number, since it uses less digits than its factorization.

1101101222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43176 (or 43168 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1101101222112 its reverse (2112221011011), we get a palindrome (3213322233123).

The spelling of 1101101222112 in words is "one trillion, one hundred one billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".