22011111111022 has 256 divisors, whose sum is σ = 39181924454400. Its totient is φ = 9252495267840.

The previous prime is 22011111111019. The next prime is 22011111111029.

22011111111022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22011111111022² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22011111110987 and 22011111111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011111111029) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 63069086104 + ... + 63069086452.

It is an arithmetic number, because the mean of its divisors is an integer number (153054392400).

Almost surely, 2^{22011111111022} is an apocalyptic number.

22011111111022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22011111111022 is a deficient number, since it is larger than the sum of its proper divisors (17170813343378).

22011111111022 is a wasteful number, since it uses less digits than its factorization.

22011111111022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 698 counting only the distinct ones).

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

It can be divided in two parts, 2201111 and 1111022, that added together give a palindrome (3312133).

The spelling of 22011111111022 in words is "twenty-two trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, twenty-two".