2212120202137 has 2 divisors, whose sum is σ = 2212120202138. Its totient is φ = 2212120202136.

The previous prime is 2212120202051. The next prime is 2212120202161. The reversal of 2212120202137 is 7312020212122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2036340416016 + 175779786121 = 1427004^2 + 419261^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212120202137 - 2⁷ = 2212120202009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212120205137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106060101068 + 1106060101069.

It is an arithmetic number, because the mean of its divisors is an integer number (1106060101069).

Almost surely, 2^{2212120202137} is an apocalyptic number.

It is an amenable number.

2212120202137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212120202137 is an equidigital number, since it uses as much as digits as its factorization.

2212120202137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 2212120202137 its reverse (7312020212122), we get a palindrome (9524140414259).

The spelling of 2212120202137 in words is "two trillion, two hundred twelve billion, one hundred twenty million, two hundred two thousand, one hundred thirty-seven".