21122012120129 has 2 divisors, whose sum is σ = 21122012120130. Its totient is φ = 21122012120128.

The previous prime is 21122012120119. The next prime is 21122012120141. The reversal of 21122012120129 is 92102121022112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21046578399025 + 75433721104 = 4587655^2 + 274652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21122012120129 is a prime.

It is a super-2 number, since 2×21122012120129² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122012120098 and 21122012120107.

It is not a weakly prime, because it can be changed into another prime (21122012120119) 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, 10561006060064 + 10561006060065.

It is an arithmetic number, because the mean of its divisors is an integer number (10561006060065).

Almost surely, 2^{21122012120129} is an apocalyptic number.

It is an amenable number.

21122012120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122012120129 is an equidigital number, since it uses as much as digits as its factorization.

21122012120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 21122012120129 in words is "twenty-one trillion, one hundred twenty-two billion, twelve million, one hundred twenty thousand, one hundred twenty-nine".