22111011011122 has 64 divisors (see below), whose sum is σ = 38179541030400. Its totient is φ = 9498110544000.

The previous prime is 22111011011099. The next prime is 22111011011171.

22111011011122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22111011011096 and 22111011011105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420503029 + ... + 420555607.

It is an arithmetic number, because the mean of its divisors is an integer number (596555328600).

Almost surely, 2^{22111011011122} is an apocalyptic number.

22111011011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22111011011122 is a deficient number, since it is larger than the sum of its proper divisors (16068530019278).

22111011011122 is a wasteful number, since it uses less digits than its factorization.

22111011011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55063.

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

It can be divided in two parts, 2211101 and 1011122, that added together give a palindrome (3222223).

The spelling of 22111011011122 in words is "twenty-two trillion, one hundred eleven billion, eleven million, eleven thousand, one hundred twenty-two".