12102102112100 has 1152 divisors, whose sum is σ = 37996480069632. Its totient is φ = 3223270195200.

The previous prime is 12102102112097. The next prime is 12102102112201. The reversal of 12102102112100 is 121120120121.

It is a super-3 number, since 3×12102102112100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10496185124 + ... + 10496186276.

It is an arithmetic number, because the mean of its divisors is an integer number (32983055616).

Almost surely, 2^{12102102112100} is an apocalyptic number.

12102102112100 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 12102102112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998240034816).

12102102112100 is an abundant number, since it is smaller than the sum of its proper divisors (25894377957532).

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

12102102112100 is a wasteful number, since it uses less digits than its factorization.

12102102112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12102102112100 its reverse (121120120121), we get a palindrome (12223222232221).

The spelling of 12102102112100 in words is "twelve trillion, one hundred two billion, one hundred two million, one hundred twelve thousand, one hundred".