10214217757 has 2 divisors, whose sum is σ = 10214217758. Its totient is φ = 10214217756.

The previous prime is 10214217731. The next prime is 10214217779. The reversal of 10214217757 is 75771241201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5639859801 + 4574357956 = 75099^2 + 67634^2 .

It is an emirp because it is prime and its reverse (75771241201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10214217757 - 2¹⁵ = 10214184989 is a prime.

It is a super-2 number, since 2×10214217757² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10214217857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5107108878 + 5107108879.

It is an arithmetic number, because the mean of its divisors is an integer number (5107108879).

Almost surely, 2^10214217757 is an apocalyptic number.

It is an amenable number.

10214217757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10214217757 is an equidigital number, since it uses as much as digits as its factorization.

10214217757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27440, while the sum is 37.

Adding to 10214217757 its reverse (75771241201), we get a palindrome (85985458958).

The spelling of 10214217757 in words is "ten billion, two hundred fourteen million, two hundred seventeen thousand, seven hundred fifty-seven".