22121220010122 has 96 divisors (see below), whose sum is σ = 49752971573760. Its totient is φ = 7095922704000.

The previous prime is 22121220010121. The next prime is 22121220010133. The reversal of 22121220010122 is 22101002212122.

It is a happy number.

22121220010122 is a `hidden beast` number, since 221 + 212 + 200 + 10 + 1 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22121220010095 and 22121220010104.

It is not an unprimeable number, because it can be changed into a prime (22121220010121) 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, 103524472 + ... + 103737932.

It is an arithmetic number, because the mean of its divisors is an integer number (518260120560).

Almost surely, 2^{22121220010122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121220010122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24876485786880).

22121220010122 is an abundant number, since it is smaller than the sum of its proper divisors (27631751563638).

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

22121220010122 is a wasteful number, since it uses less digits than its factorization.

22121220010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214540 (or 214537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22121220010122 its reverse (22101002212122), we get a palindrome (44222222222244).

The spelling of 22121220010122 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twenty million, ten thousand, one hundred twenty-two".