110102120100221 has 16 divisors (see below), whose sum is σ = 118782916051968. Its totient is φ = 101666386848000.

The previous prime is 110102120100209. The next prime is 110102120100227. The reversal of 110102120100221 is 122001021201011.

It is a cyclic number.

It is not a de Polignac number, because 110102120100221 - 2³⁰ = 110101046358397 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110102120100196 and 110102120100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110102120100227) 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, 21027416 + ... + 25736286.

It is an arithmetic number, because the mean of its divisors is an integer number (7423932253248).

Almost surely, 2^{110102120100221} is an apocalyptic number.

It is an amenable number.

110102120100221 is a deficient number, since it is larger than the sum of its proper divisors (8680795951747).

110102120100221 is a wasteful number, since it uses less digits than its factorization.

110102120100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734892.

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

Adding to 110102120100221 its reverse (122001021201011), we get a palindrome (232103141301232).

The spelling of 110102120100221 in words is "one hundred ten trillion, one hundred two billion, one hundred twenty million, one hundred thousand, two hundred twenty-one".