22100002122 has 64 divisors (see below), whose sum is σ = 49432965120. Its totient is φ = 6528508800.

The previous prime is 22100002103. The next prime is 22100002139. The reversal of 22100002122 is 22120000122.

It is a junction number, because it is equal to n+sod(n) for n = 22100002098 and 22100002107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4757533 + ... + 4762175.

It is an arithmetic number, because the mean of its divisors is an integer number (772390080).

Almost surely, 2^22100002122 is an apocalyptic number.

22100002122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24716482560).

22100002122 is an abundant number, since it is smaller than the sum of its proper divisors (27332962998).

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

22100002122 is a wasteful number, since it uses less digits than its factorization.

22100002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6459.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22100002122 its reverse (22120000122), we get a palindrome (44220002244).

It can be divided in two parts, 2210000 and 2122, that added together give a palindrome (2212122).

The spelling of 22100002122 in words is "twenty-two billion, one hundred million, two thousand, one hundred twenty-two".