110221122011 has 16 divisors (see below), whose sum is σ = 147989200128. Its totient is φ = 79279927200.

The previous prime is 110221121993. The next prime is 110221122017.

110221122011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110221122011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110221122017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55054505 + ... + 55056506.

It is an arithmetic number, because the mean of its divisors is an integer number (9249325008).

Almost surely, 2^110221122011 is an apocalyptic number.

110221122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110221122011 is a deficient number, since it is larger than the sum of its proper divisors (37768078117).

110221122011 is a wasteful number, since it uses less digits than its factorization.

110221122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110111042.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 110221 and 122011, that added together give a palindrome (232232).

The spelling of 110221122011 in words is "one hundred ten billion, two hundred twenty-one million, one hundred twenty-two thousand, eleven".