12100221100000 has 432 divisors, whose sum is σ = 32783808483216. Its totient is φ = 4359680000000.

The previous prime is 12100221099991. The next prime is 12100221100103. The reversal of 12100221100000 is 112200121.

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 12100221100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18877099680 + ... + 18877100320.

It is an arithmetic number, because the mean of its divisors is an integer number (75888445563).

Almost surely, 2^{12100221100000} is an apocalyptic number.

12100221100000 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 12100221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391904241608).

12100221100000 is an abundant number, since it is smaller than the sum of its proper divisors (20683587383216).

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

12100221100000 is an frugal number, since it uses more digits than its factorization.

12100221100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 790 counting only the distinct ones).

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

Adding to 12100221100000 its reverse (112200121), we get a palindrome (12100333300121).

It can be divided in two parts, 12100221 and 100000, that added together give a palindrome (12200221).

The spelling of 12100221100000 in words is "twelve trillion, one hundred billion, two hundred twenty-one million, one hundred thousand".