12102102201000 has 512 divisors, whose sum is σ = 44722059033600. Its totient is φ = 2665939046400.

The previous prime is 12102102200983. The next prime is 12102102201017. The reversal of 12102102201000 is 10220120121.

It is an interprime number because it is at equal distance from previous prime (12102102200983) and next prime (12102102201017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 339195162 + ... + 339230838.

It is an arithmetic number, because the mean of its divisors is an integer number (87347771550).

Almost surely, 2^{12102102201000} is an apocalyptic number.

12102102201000 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 12102102201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22361029516800).

12102102201000 is an abundant number, since it is smaller than the sum of its proper divisors (32619956832600).

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

12102102201000 is a wasteful number, since it uses less digits than its factorization.

12102102201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36294 (or 36280 counting only the distinct ones).

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

Adding to 12102102201000 its reverse (10220120121), we get a palindrome (12112322321121).

The spelling of 12102102201000 in words is "twelve trillion, one hundred two billion, one hundred two million, two hundred one thousand".