12035110100 has 72 divisors (see below), whose sum is σ = 28415374008. Its totient is φ = 4397875200.

The previous prime is 12035110079. The next prime is 12035110117. The reversal of 12035110100 is 101153021.

12035110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 3199486096 + 8835624004 = 56564^2 + 93998^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78380 + ... + 173820.

Almost surely, 2^12035110100 is an apocalyptic number.

12035110100 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 12035110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207687004).

12035110100 is an abundant number, since it is smaller than the sum of its proper divisors (16380263908).

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

12035110100 is a wasteful number, since it uses less digits than its factorization.

12035110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95565 (or 95558 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 12035110100 its reverse (101153021), we get a palindrome (12136263121).

The spelling of 12035110100 in words is "twelve billion, thirty-five million, one hundred ten thousand, one hundred".