22010011001022 has 256 divisors, whose sum is σ = 50785307983872. Its totient is φ = 6300926392320.

The previous prime is 22010011000997. The next prime is 22010011001093.

22010011001022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22010011000989 and 22010011001007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2355770883 + ... + 2355780225.

It is an arithmetic number, because the mean of its divisors is an integer number (198380109312).

Almost surely, 2^{22010011001022} is an apocalyptic number.

22010011001022 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 22010011001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25392653991936).

22010011001022 is an abundant number, since it is smaller than the sum of its proper divisors (28775296982850).

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

22010011001022 is a wasteful number, since it uses less digits than its factorization.

22010011001022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9695.

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

It can be divided in two parts, 2201001 and 1001022, that added together give a palindrome (3202023).

The spelling of 22010011001022 in words is "twenty-two trillion, ten billion, eleven million, one thousand, twenty-two".