110110221101001 has 24 divisors (see below), whose sum is σ = 161416159696512. Its totient is φ = 66715891184800.

The previous prime is 110110221100963. The next prime is 110110221101039. The reversal of 110110221101001 is 100101122011011.

It is an interprime number because it is at equal distance from previous prime (110110221100963) and next prime (110110221101039).

It is not a de Polignac number, because 110110221101001 - 2⁶ = 110110221100937 is a prime.

It is a super-2 number, since 2×110110221101001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110110221101401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38565585 + ... + 41322206.

It is an arithmetic number, because the mean of its divisors is an integer number (6725673320688).

Almost surely, 2^{110110221101001} is an apocalyptic number.

110110221101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110221101001 is a deficient number, since it is larger than the sum of its proper divisors (51305938595511).

110110221101001 is a wasteful number, since it uses less digits than its factorization.

110110221101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79891613 (or 79891602 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110110221101001 its reverse (100101122011011), we get a palindrome (210211343112012).

The spelling of 110110221101001 in words is "one hundred ten trillion, one hundred ten billion, two hundred twenty-one million, one hundred one thousand, one".