110111120022101 has 24 divisors (see below), whose sum is σ = 121315389484800. Its totient is φ = 99866040880320.

The previous prime is 110111120022089. The next prime is 110111120022121. The reversal of 110111120022101 is 101220021111011.

It is a de Polignac number, because none of the positive numbers 2^k-110111120022101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111120022121) 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 23 ways as a sum of consecutive naturals, for example, 634197500 + ... + 634371098.

It is an arithmetic number, because the mean of its divisors is an integer number (5054807895200).

Almost surely, 2^{110111120022101} is an apocalyptic number.

110111120022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111120022101 is a deficient number, since it is larger than the sum of its proper divisors (11204269462699).

110111120022101 is a wasteful number, since it uses less digits than its factorization.

110111120022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185897 (or 185886 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110111120022101 its reverse (101220021111011), we get a palindrome (211331141133112).

The spelling of 110111120022101 in words is "one hundred ten trillion, one hundred eleven billion, one hundred twenty million, twenty-two thousand, one hundred one".