12122110100221 has 48 divisors (see below), whose sum is σ = 14726708236800. Its totient is φ = 9917385505280.

The previous prime is 12122110100203. The next prime is 12122110100249. The reversal of 12122110100221 is 12200101122121.

It is not a de Polignac number, because 12122110100221 - 2⁵ = 12122110100189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122110100195 and 12122110100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122110100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137583660 + ... + 137671738.

It is an arithmetic number, because the mean of its divisors is an integer number (306806421600).

Almost surely, 2^{12122110100221} is an apocalyptic number.

12122110100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122110100221 is a deficient number, since it is larger than the sum of its proper divisors (2604598136579).

12122110100221 is a wasteful number, since it uses less digits than its factorization.

12122110100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91050 (or 91039 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122110100221 its reverse (12200101122121), we get a palindrome (24322211222342).

The spelling of 12122110100221 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, one hundred thousand, two hundred twenty-one".