12100012200010 has 96 divisors (see below), whose sum is σ = 26843079101328. Its totient is φ = 3902098636800.

The previous prime is 12100012199953. The next prime is 12100012200097. The reversal of 12100012200010 is 1000221000121.

It can be written as a sum of positive squares in 8 ways, for example, as 10412218879209 + 1687793320801 = 3226797^2 + 1299151^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 12100012200010.

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 47 ways as a sum of consecutive naturals, for example, 12882682 + ... + 13789978.

Almost surely, 2^{12100012200010} is an apocalyptic number.

12100012200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100012200010 is an abundant number, since it is smaller than the sum of its proper divisors (14743066901318).

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

12100012200010 is a wasteful number, since it uses less digits than its factorization.

12100012200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908936 (or 908929 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12100012200010 its reverse (1000221000121), we get a palindrome (13100233200131).

The spelling of 12100012200010 in words is "twelve trillion, one hundred billion, twelve million, two hundred thousand, ten".