12100202010 has 192 divisors, whose sum is σ = 35666047872. Its totient is φ = 2933542656.

The previous prime is 12100201963. The next prime is 12100202011. The reversal of 12100202010 is 1020200121.

12100202010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12100201983 and 12100202001.

It is not an unprimeable number, because it can be changed into a prime (12100202011) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2113672 + ... + 2119388.

It is an arithmetic number, because the mean of its divisors is an integer number (185760666).

Almost surely, 2^12100202010 is an apocalyptic number.

12100202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833023936).

12100202010 is an abundant number, since it is smaller than the sum of its proper divisors (23565845862).

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

12100202010 is a wasteful number, since it uses less digits than its factorization.

12100202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12100202010 its reverse (1020200121), we get a palindrome (13120402131).

The spelling of 12100202010 in words is "twelve billion, one hundred million, two hundred two thousand, ten".