1103330012100 has 144 divisors (see below), whose sum is σ = 3283200236736. Its totient is φ = 285900800000.

The previous prime is 1103330012051. The next prime is 1103330012117. The reversal of 1103330012100 is 12100333011.

It is a super-2 number, since 2×1103330012100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1103330012100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2908612 + ... + 3265988.

It is an arithmetic number, because the mean of its divisors is an integer number (22800001644).

Almost surely, 2^{1103330012100} is an apocalyptic number.

1103330012100 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 1103330012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641600118368).

1103330012100 is an abundant number, since it is smaller than the sum of its proper divisors (2179870224636).

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

1103330012100 is a wasteful number, since it uses less digits than its factorization.

1103330012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357686 (or 357679 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1103330012100 its reverse (12100333011), we get a palindrome (1115430345111).

The spelling of 1103330012100 in words is "one trillion, one hundred three billion, three hundred thirty million, twelve thousand, one hundred".