12102112110102 has 96 divisors (see below), whose sum is σ = 28285600099680. Its totient is φ = 3441835514880.

The previous prime is 12102112110091. The next prime is 12102112110113. The reversal of 12102112110102 is 20101121120121.

It is a happy number.

12102112110102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12102112110091) and next prime (12102112110113).

It is a super-2 number, since 2×12102112110102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160730088 + ... + 160805364.

It is an arithmetic number, because the mean of its divisors is an integer number (294641667705).

Almost surely, 2^{12102112110102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102112110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142800049840).

12102112110102 is an abundant number, since it is smaller than the sum of its proper divisors (16183487989578).

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

12102112110102 is a wasteful number, since it uses less digits than its factorization.

12102112110102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77806 (or 77799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12102112110102 its reverse (20101121120121), we get a palindrome (32203233230223).

The spelling of 12102112110102 in words is "twelve trillion, one hundred two billion, one hundred twelve million, one hundred ten thousand, one hundred two".