110101101111221 has 8 divisors (see below), whose sum is σ = 120112024173600. Its totient is φ = 100090466724240.

The previous prime is 110101101111193. The next prime is 110101101111257. The reversal of 110101101111221 is 122111101101011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110101101111221 - 2³⁴ = 110083921242037 is a prime.

It is a super-3 number, since 3×110101101111221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110101101111196 and 110101101111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101101111121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71370986 + ... + 72897323.

It is an arithmetic number, because the mean of its divisors is an integer number (15014003021700).

Almost surely, 2^{110101101111221} is an apocalyptic number.

110101101111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101101111221 is a deficient number, since it is larger than the sum of its proper divisors (10010923062379).

110101101111221 is a wasteful number, since it uses less digits than its factorization.

110101101111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144337699.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 110101101111221 its reverse (122111101101011), we get a palindrome (232212202212232).

The spelling of 110101101111221 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one hundred eleven thousand, two hundred twenty-one".