13102221232100 has 864 divisors, whose sum is σ = 40593656839680. Its totient is φ = 3564643737600.

The previous prime is 13102221231991. The next prime is 13102221232117. The reversal of 13102221232100 is 123212220131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2253948794 + ... + 2253954606.

It is an arithmetic number, because the mean of its divisors is an integer number (46983399120).

Almost surely, 2^{13102221232100} is an apocalyptic number.

13102221232100 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 13102221232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296828419840).

13102221232100 is an abundant number, since it is smaller than the sum of its proper divisors (27491435607580).

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

13102221232100 is a wasteful number, since it uses less digits than its factorization.

13102221232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13102221232100 its reverse (123212220131), we get a palindrome (13225433452231).

The spelling of 13102221232100 in words is "thirteen trillion, one hundred two billion, two hundred twenty-one million, two hundred thirty-two thousand, one hundred".