13102112100 has 288 divisors, whose sum is σ = 47392966656. Its totient is φ = 2715033600.

The previous prime is 13102112077. The next prime is 13102112119. The reversal of 13102112100 is 121120131.

13102112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13328209 + ... + 13329191.

It is an arithmetic number, because the mean of its divisors is an integer number (164558912).

Almost surely, 2^13102112100 is an apocalyptic number.

13102112100 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 13102112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23696483328).

13102112100 is an abundant number, since it is smaller than the sum of its proper divisors (34290854556).

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

13102112100 is a wasteful number, since it uses less digits than its factorization.

13102112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1588 counting only the distinct ones).

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

Adding to 13102112100 its reverse (121120131), we get a palindrome (13223232231).

The spelling of 13102112100 in words is "thirteen billion, one hundred two million, one hundred twelve thousand, one hundred".