1103303102112 has 336 divisors, whose sum is σ = 3293280281088. Its totient is φ = 363662991360.

The previous prime is 1103303102101. The next prime is 1103303102113. The reversal of 1103303102112 is 2112013033011.

1103303102112 is a `hidden beast` number, since 1 + 1 + 0 + 330 + 310 + 21 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1103303102113) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 859939423 + ... + 859940705.

It is an arithmetic number, because the mean of its divisors is an integer number (9801429408).

Almost surely, 2^{1103303102112} is an apocalyptic number.

1103303102112 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 1103303102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646640140544).

1103303102112 is an abundant number, since it is smaller than the sum of its proper divisors (2189977178976).

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

1103303102112 is a wasteful number, since it uses less digits than its factorization.

1103303102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1103303102112 its reverse (2112013033011), we get a palindrome (3215316135123).

The spelling of 1103303102112 in words is "one trillion, one hundred three billion, three hundred three million, one hundred two thousand, one hundred twelve".