12102200100 has 243 divisors, whose sum is σ = 40243773843. Its totient is φ = 3041556480.

The previous prime is 12102200087. The next prime is 12102200113. The reversal of 12102200100 is 100220121.

The square root of 12102200100 is 110010.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (12102200087) and next prime (12102200113).

It can be written as a sum of positive squares in 4 ways, for example, as 1946397924 + 10155802176 = 44118^2 + 100776^2 .

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 80 ways as a sum of consecutive naturals, for example, 62705604 + ... + 62705796.

Almost surely, 2^12102200100 is an apocalyptic number.

12102200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12102200100 is the 110010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102200100

12102200100 is an abundant number, since it is smaller than the sum of its proper divisors (28141573743).

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

12102200100 is a wasteful number, since it uses less digits than its factorization.

12102200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

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

Adding to 12102200100 its reverse (100220121), we get a palindrome (12202420221).

The spelling of 12102200100 in words is "twelve billion, one hundred two million, two hundred thousand, one hundred".