12201010220010 has 256 divisors, whose sum is σ = 31855261132800. Its totient is φ = 2979377823744.

The previous prime is 12201010219999. The next prime is 12201010220011. The reversal of 12201010220010 is 1002201010221.

It is not an unprimeable number, because it can be changed into a prime (12201010220011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2811938421 + ... + 2811942759.

It is an arithmetic number, because the mean of its divisors is an integer number (124434613800).

Almost surely, 2^{12201010220010} is an apocalyptic number.

12201010220010 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 12201010220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927630566400).

12201010220010 is an abundant number, since it is smaller than the sum of its proper divisors (19654250912790).

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

12201010220010 is a wasteful number, since it uses less digits than its factorization.

12201010220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12201010220010 its reverse (1002201010221), we get a palindrome (13203211230231).

The spelling of 12201010220010 in words is "twelve trillion, two hundred one billion, ten million, two hundred twenty thousand, ten".