12102101200 has 240 divisors, whose sum is σ = 34252807680. Its totient is φ = 4022784000.

The previous prime is 12102101173. The next prime is 12102101203. The reversal of 12102101200 is 210120121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102101203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31110606 + ... + 31110994.

It is an arithmetic number, because the mean of its divisors is an integer number (142720032).

Almost surely, 2^12102101200 is an apocalyptic number.

12102101200 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 12102101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126403840).

12102101200 is an abundant number, since it is smaller than the sum of its proper divisors (22150706480).

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

12102101200 is a wasteful number, since it uses less digits than its factorization.

12102101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 715 counting only the distinct ones).

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

Adding to 12102101200 its reverse (210120121), we get a palindrome (12312221321).

The spelling of 12102101200 in words is "twelve billion, one hundred two million, one hundred one thousand, two hundred".