20001200202257 has 2 divisors, whose sum is σ = 20001200202258. Its totient is φ = 20001200202256.

The previous prime is 20001200202199. The next prime is 20001200202299. The reversal of 20001200202257 is 75220200210002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19716432821761 + 284767380496 = 4440319^2 + 533636^2 .

It is a cyclic number.

It is not a de Polignac number, because 20001200202257 - 2¹⁴ = 20001200185873 is a prime.

It is not a weakly prime, because it can be changed into another prime (20001200204257) 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, 10000600101128 + 10000600101129.

It is an arithmetic number, because the mean of its divisors is an integer number (10000600101129).

Almost surely, 2^{20001200202257} is an apocalyptic number.

It is an amenable number.

20001200202257 is a deficient number, since it is larger than the sum of its proper divisors (1).

20001200202257 is an equidigital number, since it uses as much as digits as its factorization.

20001200202257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 23.

Adding to 20001200202257 its reverse (75220200210002), we get a palindrome (95221400412259).

The spelling of 20001200202257 in words is "twenty trillion, one billion, two hundred million, two hundred two thousand, two hundred fifty-seven".