1111001101112 has 128 divisors (see below), whose sum is σ = 2450746368000. Its totient is φ = 462257664000.

The previous prime is 1111001101079. The next prime is 1111001101141. The reversal of 1111001101112 is 2111011001111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1111001101093 and 1111001101102.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 463108889 + ... + 463111287.

It is an arithmetic number, because the mean of its divisors is an integer number (19146456000).

Almost surely, 2^{1111001101112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111001101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225373184000).

1111001101112 is an abundant number, since it is smaller than the sum of its proper divisors (1339745266888).

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

1111001101112 is a wasteful number, since it uses less digits than its factorization.

1111001101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1111001101112 its reverse (2111011001111), we get a palindrome (3222012102223).

The spelling of 1111001101112 in words is "one trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred twelve".