12002003103100 has 144 divisors (see below), whose sum is σ = 26426710144800. Its totient is φ = 4730833797120.

The previous prime is 12002003103089. The next prime is 12002003103119. The reversal of 12002003103100 is 130130020021.

It is a super-2 number, since 2×12002003103100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 4628615404 + ... + 4628617996.

It is an arithmetic number, because the mean of its divisors is an integer number (183518820450).

Almost surely, 2^{12002003103100} is an apocalyptic number.

12002003103100 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 12002003103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213355072400).

12002003103100 is an abundant number, since it is smaller than the sum of its proper divisors (14424707041700).

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

12002003103100 is a wasteful number, since it uses less digits than its factorization.

12002003103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12002003103100 its reverse (130130020021), we get a palindrome (12132133123121).

The spelling of 12002003103100 in words is "twelve trillion, two billion, three million, one hundred three thousand, one hundred".