212142302240137 has 2 divisors, whose sum is σ = 212142302240138. Its totient is φ = 212142302240136.

The previous prime is 212142302240119. The next prime is 212142302240257. The reversal of 212142302240137 is 731042203241212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178125832411641 + 34016469828496 = 13346379^2 + 5832364^2 .

It is a cyclic number.

It is not a de Polignac number, because 212142302240137 - 2³¹ = 212140154756489 is a prime.

It is a super-3 number, since 3×212142302240137³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212142302940137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106071151120068 + 106071151120069.

It is an arithmetic number, because the mean of its divisors is an integer number (106071151120069).

Almost surely, 2^{212142302240137} is an apocalyptic number.

It is an amenable number.

212142302240137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212142302240137 is an equidigital number, since it uses as much as digits as its factorization.

212142302240137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 212142302240137 its reverse (731042203241212), we get a palindrome (943184505481349).

The spelling of 212142302240137 in words is "two hundred twelve trillion, one hundred forty-two billion, three hundred two million, two hundred forty thousand, one hundred thirty-seven".