212002111012129 has 2 divisors, whose sum is σ = 212002111012130. Its totient is φ = 212002111012128.

The previous prime is 212002111012019. The next prime is 212002111012151. The reversal of 212002111012129 is 921210111200212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185208909285904 + 26793201726225 = 13609148^2 + 5176215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212002111012129 is a prime.

It is a super-2 number, since 2×212002111012129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212002111012169) 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, 106001055506064 + 106001055506065.

It is an arithmetic number, because the mean of its divisors is an integer number (106001055506065).

Almost surely, 2^{212002111012129} is an apocalyptic number.

It is an amenable number.

212002111012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212002111012129 is an equidigital number, since it uses as much as digits as its factorization.

212002111012129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 212002111012129 in words is "two hundred twelve trillion, two billion, one hundred eleven million, twelve thousand, one hundred twenty-nine".