110022220011 has 64 divisors (see below), whose sum is σ = 165598543872. Its totient is φ = 64411200000.

The previous prime is 110022219973. The next prime is 110022220039.

110022220011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 110022220011 - 2⁷ = 110022219883 is a prime.

It is a super-2 number, since 2×110022220011² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (110022220081) 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 63 ways as a sum of consecutive naturals, for example, 25818621 + ... + 25822881.

It is an arithmetic number, because the mean of its divisors is an integer number (2587477248).

Almost surely, 2^110022220011 is an apocalyptic number.

110022220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110022220011 is a deficient number, since it is larger than the sum of its proper divisors (55576323861).

110022220011 is a wasteful number, since it uses less digits than its factorization.

110022220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4564.

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

It can be divided in two parts, 110022 and 220011, that added together give a palindrome (330033).

The spelling of 110022220011 in words is "one hundred ten billion, twenty-two million, two hundred twenty thousand, eleven".