13222122100 has 144 divisors (see below), whose sum is σ = 32144942592. Its totient is φ = 4680000000.

The previous prime is 13222122091. The next prime is 13222122101. The reversal of 13222122100 is 122122231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222122101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6776125 + ... + 6778075.

It is an arithmetic number, because the mean of its divisors is an integer number (223228768).

Almost surely, 2^13222122100 is an apocalyptic number.

13222122100 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 13222122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16072471296).

13222122100 is an abundant number, since it is smaller than the sum of its proper divisors (18922820492).

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

13222122100 is a wasteful number, since it uses less digits than its factorization.

13222122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13222122100 its reverse (122122231), we get a palindrome (13344244331).

The spelling of 13222122100 in words is "thirteen billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".