110111012111221 has 16 divisors (see below), whose sum is σ = 120212052162048. Its totient is φ = 100025152998400.

The previous prime is 110111012111207. The next prime is 110111012111273. The reversal of 110111012111221 is 122111210111011.

It is a cyclic number.

It is not a de Polignac number, because 110111012111221 - 2²⁷ = 110110877893493 is a prime.

It is a super-2 number, since 2×110111012111221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110111012111195 and 110111012111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111013111221) 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 15 ways as a sum of consecutive naturals, for example, 96025341 + ... + 97165261.

It is an arithmetic number, because the mean of its divisors is an integer number (7513253260128).

Almost surely, 2^{110111012111221} is an apocalyptic number.

110111012111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111012111221 is a deficient number, since it is larger than the sum of its proper divisors (10101040050827).

110111012111221 is a wasteful number, since it uses less digits than its factorization.

110111012111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146572.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 110111012111221 its reverse (122111210111011), we get a palindrome (232222222222232).

The spelling of 110111012111221 in words is "one hundred ten trillion, one hundred eleven billion, twelve million, one hundred eleven thousand, two hundred twenty-one".