21122011120121 has 2 divisors, whose sum is σ = 21122011120122. Its totient is φ = 21122011120120.

The previous prime is 21122011120117. The next prime is 21122011120139. The reversal of 21122011120121 is 12102111022112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20879745358096 + 242265762025 = 4569436^2 + 492205^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122011120121 - 2² = 21122011120117 is a prime.

It is a super-2 number, since 2×21122011120121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21122011120121.

It is not a weakly prime, because it can be changed into another prime (21122011120621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10561005560060 + 10561005560061.

It is an arithmetic number, because the mean of its divisors is an integer number (10561005560061).

Almost surely, 2^{21122011120121} is an apocalyptic number.

It is an amenable number.

21122011120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122011120121 is an equidigital number, since it uses as much as digits as its factorization.

21122011120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21122011120121 its reverse (12102111022112), we get a palindrome (33224122142233).

The spelling of 21122011120121 in words is "twenty-one trillion, one hundred twenty-two billion, eleven million, one hundred twenty thousand, one hundred twenty-one".