12221021202100 has 144 divisors (see below), whose sum is σ = 27367080488496. Its totient is φ = 4734812160000.

The previous prime is 12221021202097. The next prime is 12221021202101. The reversal of 12221021202100 is 120212012221.

It is a happy number.

12221021202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 883227799204 + 11337793402896 = 939802^2 + 3367164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221021202101) 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, 206124460 + ... + 206183740.

It is an arithmetic number, because the mean of its divisors is an integer number (190049170059).

Almost surely, 2^{12221021202100} is an apocalyptic number.

12221021202100 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 12221021202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683540244248).

12221021202100 is an abundant number, since it is smaller than the sum of its proper divisors (15146059286396).

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

12221021202100 is a wasteful number, since it uses less digits than its factorization.

12221021202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59846 (or 59839 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12221021202100 its reverse (120212012221), we get a palindrome (12341233214321).

The spelling of 12221021202100 in words is "twelve trillion, two hundred twenty-one billion, twenty-one million, two hundred two thousand, one hundred".