22100011000122 has 192 divisors, whose sum is σ = 52302531129984. Its totient is φ = 6171259944960.

The previous prime is 22100011000121. The next prime is 22100011000183.

22100011000122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22100011000098 and 22100011000107.

It is not an unprimeable number, because it can be changed into a prime (22100011000121) 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, 190701148 + ... + 190817000.

It is an arithmetic number, because the mean of its divisors is an integer number (272409016302).

Almost surely, 2^{22100011000122} is an apocalyptic number.

22100011000122 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 22100011000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26151265564992).

22100011000122 is an abundant number, since it is smaller than the sum of its proper divisors (30202520129862).

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

22100011000122 is a wasteful number, since it uses less digits than its factorization.

22100011000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116113 (or 116096 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 2210001 and 1000122, that added together give a palindrome (3210123).

The spelling of 22100011000122 in words is "twenty-two trillion, one hundred billion, eleven million, one hundred twenty-two", and thus it is an aban number.