211200209989129 has 2 divisors, whose sum is σ = 211200209989130. Its totient is φ = 211200209989128.

The previous prime is 211200209989061. The next prime is 211200209989141. The reversal of 211200209989129 is 921989902002112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130797191955600 + 80403018033529 = 11436660^2 + 8966773^2 .

It is a cyclic number.

It is not a de Polignac number, because 211200209989129 - 2²⁷ = 211200075771401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211200209989129.

It is not a weakly prime, because it can be changed into another prime (211200209989189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105600104994564 + 105600104994565.

It is an arithmetic number, because the mean of its divisors is an integer number (105600104994565).

Almost surely, 2^{211200209989129} is an apocalyptic number.

It is an amenable number.

211200209989129 is a deficient number, since it is larger than the sum of its proper divisors (1).

211200209989129 is an equidigital number, since it uses as much as digits as its factorization.

211200209989129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 839808, while the sum is 55.

The spelling of 211200209989129 in words is "two hundred eleven trillion, two hundred billion, two hundred nine million, nine hundred eighty-nine thousand, one hundred twenty-nine".