12221102110100 has 108 divisors (see below), whose sum is σ = 29052054770844. Its totient is φ = 4435923816960.

The previous prime is 12221102110099. The next prime is 12221102110103. The reversal of 12221102110100 is 101120112221.

It can be written as a sum of positive squares in 6 ways, for example, as 3916353924484 + 8304748185616 = 1978978^2 + 2881796^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221102110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3174992 + ... + 5875608.

Almost surely, 2^{12221102110100} is an apocalyptic number.

12221102110100 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 12221102110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526027385422).

12221102110100 is an abundant number, since it is smaller than the sum of its proper divisors (16830952660744).

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

12221102110100 is a wasteful number, since it uses less digits than its factorization.

12221102110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700762 (or 2700696 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12221102110100 its reverse (101120112221), we get a palindrome (12322222222321).

The spelling of 12221102110100 in words is "twelve trillion, two hundred twenty-one billion, one hundred two million, one hundred ten thousand, one hundred".