12102200100000 has 972 divisors, whose sum is σ = 45636439537962. Its totient is φ = 3041556480000.

The previous prime is 12102200099953. The next prime is 12102200100017. The reversal of 12102200100000 is 100220121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 8767734193296 + 3334465906704 = 2961036^2 + 1826052^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 62705699904 + ... + 62705700096.

Almost surely, 2^{12102200100000} is an apocalyptic number.

12102200100000 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 12102200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22818219768981).

12102200100000 is an abundant number, since it is smaller than the sum of its proper divisors (33534239437962).

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

12102200100000 is an frugal number, since it uses more digits than its factorization.

12102200100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12102200100000 its reverse (100220121), we get a palindrome (12102300320121).

The spelling of 12102200100000 in words is "twelve trillion, one hundred two billion, two hundred million, one hundred thousand".