21122121000067 has 2 divisors, whose sum is σ = 21122121000068. Its totient is φ = 21122121000066.

The previous prime is 21122121000049. The next prime is 21122121000121. The reversal of 21122121000067 is 76000012122112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 21122121000067 - 2³¹ = 21119973516419 is a prime.

It is a super-2 number, since 2×21122121000067² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21122121001067) 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, 10561060500033 + 10561060500034.

It is an arithmetic number, because the mean of its divisors is an integer number (10561060500034).

Almost surely, 2^{21122121000067} is an apocalyptic number.

21122121000067 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122121000067 is an equidigital number, since it uses as much as digits as its factorization.

21122121000067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 21122121000067 its reverse (76000012122112), we get a palindrome (97122133122179).

The spelling of 21122121000067 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, sixty-seven", and thus it is an aban number.