12102300222100 has 108 divisors (see below), whose sum is σ = 28869248589244. Its totient is φ = 4400415360000.

The previous prime is 12102300222083. The next prime is 12102300222101. The reversal of 12102300222100 is 122200320121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1491163361424 + 10611136860676 = 1221132^2 + 3257474^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102300222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144444220 + ... + 144527980.

Almost surely, 2^{12102300222100} is an apocalyptic number.

12102300222100 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 12102300222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14434624294622).

12102300222100 is an abundant number, since it is smaller than the sum of its proper divisors (16766948367144).

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

12102300222100 is a wasteful number, since it uses less digits than its factorization.

12102300222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95738 (or 95720 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12102300222100 its reverse (122200320121), we get a palindrome (12224500542221).

The spelling of 12102300222100 in words is "twelve trillion, one hundred two billion, three hundred million, two hundred twenty-two thousand, one hundred".