12102110100 has 288 divisors, whose sum is σ = 41374851840. Its totient is φ = 3027847680.

The previous prime is 12102110099. The next prime is 12102110117. The reversal of 12102110100 is 101120121.

It is a happy number.

12102110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12102110100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3289462 + ... + 3293138.

It is an arithmetic number, because the mean of its divisors is an integer number (143662680).

Almost surely, 2^12102110100 is an apocalyptic number.

12102110100 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 12102110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20687425920).

12102110100 is an abundant number, since it is smaller than the sum of its proper divisors (29272741740).

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

12102110100 is a wasteful number, since it uses less digits than its factorization.

12102110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3776 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12102110100 its reverse (101120121), we get a palindrome (12203230221).

The spelling of 12102110100 in words is "twelve billion, one hundred two million, one hundred ten thousand, one hundred".