211221221100137 has 2 divisors, whose sum is σ = 211221221100138. Its totient is φ = 211221221100136.

The previous prime is 211221221100079. The next prime is 211221221100151. The reversal of 211221221100137 is 731001122122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116041607052121 + 95179614048016 = 10772261^2 + 9756004^2 .

It is a cyclic number.

It is not a de Polignac number, because 211221221100137 - 2⁸ = 211221221099881 is a prime.

It is a super-2 number, since 2×211221221100137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211221221300137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610610550068 + 105610610550069.

It is an arithmetic number, because the mean of its divisors is an integer number (105610610550069).

Almost surely, 2^{211221221100137} is an apocalyptic number.

It is an amenable number.

211221221100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211221221100137 is an equidigital number, since it uses as much as digits as its factorization.

211221221100137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

Adding to 211221221100137 its reverse (731001122122112), we get a palindrome (942222343222249).

The spelling of 211221221100137 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred thousand, one hundred thirty-seven".