212001200002129 has 2 divisors, whose sum is σ = 212001200002130. Its totient is φ = 212001200002128.

The previous prime is 212001200002121. The next prime is 212001200002243. The reversal of 212001200002129 is 921200002100212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146128254075904 + 65872945926225 = 12088352^2 + 8116215^2 .

It is a cyclic number.

It is not a de Polignac number, because 212001200002129 - 2³ = 212001200002121 is a prime.

It is a super-2 number, since 2×212001200002129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212001200002121) 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, 106000600001064 + 106000600001065.

It is an arithmetic number, because the mean of its divisors is an integer number (106000600001065).

Almost surely, 2^{212001200002129} is an apocalyptic number.

It is an amenable number.

212001200002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001200002129 is an equidigital number, since it uses as much as digits as its factorization.

212001200002129 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 22.

The spelling of 212001200002129 in words is "two hundred twelve trillion, one billion, two hundred million, two thousand, one hundred twenty-nine".