12122021112001 has 2 divisors, whose sum is σ = 12122021112002. Its totient is φ = 12122021112000.

The previous prime is 12122021111989. The next prime is 12122021112043. The reversal of 12122021112001 is 10021112022121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11909407902001 + 212613210000 = 3451001^2 + 461100^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122021112001 - 2¹⁹ = 12122020587713 is a prime.

It is a super-3 number, since 3×12122021112001³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12122021113001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061010556000 + 6061010556001.

It is an arithmetic number, because the mean of its divisors is an integer number (6061010556001).

Almost surely, 2^{12122021112001} is an apocalyptic number.

It is an amenable number.

12122021112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122021112001 is an equidigital number, since it uses as much as digits as its factorization.

12122021112001 is an evil number, because the sum of its binary digits is even.

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

Adding to 12122021112001 its reverse (10021112022121), we get a palindrome (22143133134122).

The spelling of 12122021112001 in words is "twelve trillion, one hundred twenty-two billion, twenty-one million, one hundred twelve thousand, one".