12102113100 has 216 divisors, whose sum is σ = 44435780928. Its totient is φ = 2514691200.

The previous prime is 12102113077. The next prime is 12102113123. The reversal of 12102113100 is 131120121.

It is an interprime number because it is at equal distance from previous prime (12102113077) and next prime (12102113123).

It is a super-2 number, since 2×12102113100² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124279 + ... + 199121.

It is an arithmetic number, because the mean of its divisors is an integer number (205721208).

Almost surely, 2^12102113100 is an apocalyptic number.

12102113100 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 12102113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22217890464).

12102113100 is an abundant number, since it is smaller than the sum of its proper divisors (32333667828).

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

12102113100 is a wasteful number, since it uses less digits than its factorization.

12102113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74885 (or 74871 counting only the distinct ones).

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

Adding to 12102113100 its reverse (131120121), we get a palindrome (12233233221).

The spelling of 12102113100 in words is "twelve billion, one hundred two million, one hundred thirteen thousand, one hundred".