2212132312129 has 2 divisors, whose sum is σ = 2212132312130. Its totient is φ = 2212132312128.

The previous prime is 2212132312111. The next prime is 2212132312157. The reversal of 2212132312129 is 9212132312122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1456310727729 + 755821584400 = 1206777^2 + 869380^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212132312129 - 2⁷ = 2212132312001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2212132312129.

It is not a weakly prime, because it can be changed into another prime (2212132312829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106066156064 + 1106066156065.

It is an arithmetic number, because the mean of its divisors is an integer number (1106066156065).

Almost surely, 2^{2212132312129} is an apocalyptic number.

It is an amenable number.

2212132312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212132312129 is an equidigital number, since it uses as much as digits as its factorization.

2212132312129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 31.

The spelling of 2212132312129 in words is "two trillion, two hundred twelve billion, one hundred thirty-two million, three hundred twelve thousand, one hundred twenty-nine".