12102113016 has 256 divisors, whose sum is σ = 39481344000. Its totient is φ = 3363534720.

The previous prime is 12102113011. The next prime is 12102113039. The reversal of 12102113016 is 61031120121.

It is a super-2 number, since 2×12102113016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12102113016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102113011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8480095 + ... + 8481521.

It is an arithmetic number, because the mean of its divisors is an integer number (154224000).

Almost surely, 2^12102113016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102113016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740672000).

12102113016 is an abundant number, since it is smaller than the sum of its proper divisors (27379230984).

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

12102113016 is a wasteful number, since it uses less digits than its factorization.

12102113016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12102113016 its reverse (61031120121), we get a palindrome (73133233137).

The spelling of 12102113016 in words is "twelve billion, one hundred two million, one hundred thirteen thousand, sixteen".