212121102001 has 2 divisors, whose sum is σ = 212121102002. Its totient is φ = 212121102000.

The previous prime is 212121101987. The next prime is 212121102047. The reversal of 212121102001 is 100201121212.

212121102001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107222847601 + 104898254400 = 327449^2 + 323880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212121102001 is a prime.

It is a super-3 number, since 3×212121102001³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212121102091) 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 as a sum of consecutive naturals, namely, 106060551000 + 106060551001.

It is an arithmetic number, because the mean of its divisors is an integer number (106060551001).

Almost surely, 2^212121102001 is an apocalyptic number.

It is an amenable number.

212121102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121102001 is an equidigital number, since it uses as much as digits as its factorization.

212121102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212121102001 its reverse (100201121212), we get a palindrome (312322223213).

The spelling of 212121102001 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred two thousand, one".