22121100112122 has 192 divisors, whose sum is σ = 56709180418176. Its totient is φ = 6155821486080.

The previous prime is 22121100112103. The next prime is 22121100112129.

22121100112122 is a `hidden beast` number, since 221 + 211 + 0 + 0 + 112 + 122 = 666.

22121100112122 is nontrivially palindromic in base 10.

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 = 22121100112095 and 22121100112104.

It is not an unprimeable number, because it can be changed into a prime (22121100112129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137855128 + ... + 138015500.

It is an arithmetic number, because the mean of its divisors is an integer number (295360314678).

Almost surely, 2^{22121100112122} is an apocalyptic number.

22121100112122 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 22121100112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28354590209088).

22121100112122 is an abundant number, since it is smaller than the sum of its proper divisors (34588080306054).

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

22121100112122 is a wasteful number, since it uses less digits than its factorization.

22121100112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161405 (or 161402 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 22121100 and 112122, that added together give a palindrome (22233222).

The spelling of 22121100112122 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred million, one hundred twelve thousand, one hundred twenty-two".