1103233110100 has 288 divisors, whose sum is σ = 2804539997952. Its totient is φ = 372249600000.

The previous prime is 1103233110079. The next prime is 1103233110121. The reversal of 1103233110100 is 10113323011.

It is an interprime number because it is at equal distance from previous prime (1103233110079) and next prime (1103233110121).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 496726990 + ... + 496729210.

It is an arithmetic number, because the mean of its divisors is an integer number (9737986104).

Almost surely, 2^{1103233110100} is an apocalyptic number.

1103233110100 is a gapful number since it is divisible by the number (10) 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 1103233110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402269998976).

1103233110100 is an abundant number, since it is smaller than the sum of its proper divisors (1701306887852).

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

1103233110100 is a wasteful number, since it uses less digits than its factorization.

1103233110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1103233110100 its reverse (10113323011), we get a palindrome (1113346433111).

The spelling of 1103233110100 in words is "one trillion, one hundred three billion, two hundred thirty-three million, one hundred ten thousand, one hundred".