12102201210000 has 400 divisors, whose sum is σ = 42842471620608. Its totient is φ = 2918491200000.

The previous prime is 12102201209921. The next prime is 12102201210023. The reversal of 12102201210000 is 1210220121.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 62933997 + ... + 63126003.

Almost surely, 2^{12102201210000} is an apocalyptic number.

12102201210000 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 12102201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21421235810304).

12102201210000 is an abundant number, since it is smaller than the sum of its proper divisors (30740270410608).

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

12102201210000 is a wasteful number, since it uses less digits than its factorization.

12102201210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192240 (or 192219 counting only the distinct ones).

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

Adding to 12102201210000 its reverse (1210220121), we get a palindrome (12103411430121).

12102201210000 divided by its reverse (1210220121) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 12102 and 201210000, that added together give a palindrome (201222102).

The spelling of 12102201210000 in words is "twelve trillion, one hundred two billion, two hundred one million, two hundred ten thousand".