12102140100 has 72 divisors (see below), whose sum is σ = 35105878080. Its totient is φ = 3218910080.

The previous prime is 12102140087. The next prime is 12102140101. The reversal of 12102140100 is 104120121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12102140101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64849 + ... + 168551.

It is an arithmetic number, because the mean of its divisors is an integer number (487581640).

Almost surely, 2^12102140100 is an apocalyptic number.

12102140100 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 12102140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552939040).

12102140100 is an abundant number, since it is smaller than the sum of its proper divisors (23003737980).

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

12102140100 is a wasteful number, since it uses less digits than its factorization.

12102140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104109 (or 104102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12102140100 its reverse (104120121), we get a palindrome (12206260221).

The spelling of 12102140100 in words is "twelve billion, one hundred two million, one hundred forty thousand, one hundred".