20002012220257 has 2 divisors, whose sum is σ = 20002012220258. Its totient is φ = 20002012220256.

The previous prime is 20002012220209. The next prime is 20002012220279. The reversal of 20002012220257 is 75202221020002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19878034993441 + 123977226816 = 4458479^2 + 352104^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002012220257 - 2¹⁵ = 20002012187489 is a prime.

It is a super-2 number, since 2×20002012220257² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20002012220287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001006110128 + 10001006110129.

It is an arithmetic number, because the mean of its divisors is an integer number (10001006110129).

Almost surely, 2^{20002012220257} is an apocalyptic number.

It is an amenable number.

20002012220257 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002012220257 is an equidigital number, since it uses as much as digits as its factorization.

20002012220257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 25.

Adding to 20002012220257 its reverse (75202221020002), we get a palindrome (95204233240259).

The spelling of 20002012220257 in words is "twenty trillion, two billion, twelve million, two hundred twenty thousand, two hundred fifty-seven".