110102201100221 has 32 divisors (see below), whose sum is σ = 120764983449600. Its totient is φ = 99549661409280.

The previous prime is 110102201100211. The next prime is 110102201100299. The reversal of 110102201100221 is 122001102201011.

It is a cyclic number.

It is not a de Polignac number, because 110102201100221 - 2²⁶ = 110102133991357 is a prime.

It is a super-2 number, since 2×110102201100221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110102201100196 and 110102201100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110102201100211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5064720770 + ... + 5064742508.

It is an arithmetic number, because the mean of its divisors is an integer number (3773905732800).

Almost surely, 2^{110102201100221} is an apocalyptic number.

110102201100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110102201100221 is a deficient number, since it is larger than the sum of its proper divisors (10662782349379).

110102201100221 is a wasteful number, since it uses less digits than its factorization.

110102201100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24689.

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

Adding to 110102201100221 its reverse (122001102201011), we get a palindrome (232103303301232).

The spelling of 110102201100221 in words is "one hundred ten trillion, one hundred two billion, two hundred one million, one hundred thousand, two hundred twenty-one".