12101122001221 has 32 divisors (see below), whose sum is σ = 14034924910080. Its totient is φ = 10317863592000.

The previous prime is 12101122001191. The next prime is 12101122001239. The reversal of 12101122001221 is 12210022110121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12101122001221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101122001195 and 12101122001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101122001251) 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, 309923926 + ... + 309962968.

It is an arithmetic number, because the mean of its divisors is an integer number (438591403440).

Almost surely, 2^{12101122001221} is an apocalyptic number.

12101122001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101122001221 is a deficient number, since it is larger than the sum of its proper divisors (1933802908859).

12101122001221 is a wasteful number, since it uses less digits than its factorization.

12101122001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53857.

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

Adding to 12101122001221 its reverse (12210022110121), we get a palindrome (24311144111342).

The spelling of 12101122001221 in words is "twelve trillion, one hundred one billion, one hundred twenty-two million, one thousand, two hundred twenty-one".