1100101102112 has 72 divisors (see below), whose sum is σ = 2306066112000. Its totient is φ = 516491617280.

The previous prime is 1100101102081. The next prime is 1100101102141. The reversal of 1100101102112 is 2112011010011.

It is a junction number, because it is equal to n+sod(n) for n = 1100101102093 and 1100101102102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3847889 + ... + 4123887.

It is an arithmetic number, because the mean of its divisors is an integer number (32028696000).

Almost surely, 2^{1100101102112} 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 1100101102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153033056000).

1100101102112 is an abundant number, since it is smaller than the sum of its proper divisors (1205965009888).

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

1100101102112 is a wasteful number, since it uses less digits than its factorization.

1100101102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276474 (or 276449 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1100101102112 its reverse (2112011010011), we get a palindrome (3212112112123).

The spelling of 1100101102112 in words is "one trillion, one hundred billion, one hundred one million, one hundred two thousand, one hundred twelve".