20213112102257 has 2 divisors, whose sum is σ = 20213112102258. Its totient is φ = 20213112102256.

The previous prime is 20213112102203. The next prime is 20213112102299. The reversal of 20213112102257 is 75220121131202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19031371350016 + 1181740752241 = 4362496^2 + 1087079^2 .

It is a cyclic number.

It is not a de Polignac number, because 20213112102257 - 2¹⁸ = 20213111840113 is a prime.

It is not a weakly prime, because it can be changed into another prime (20213112102857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10106556051128 + 10106556051129.

It is an arithmetic number, because the mean of its divisors is an integer number (10106556051129).

Almost surely, 2^{20213112102257} is an apocalyptic number.

It is an amenable number.

20213112102257 is a deficient number, since it is larger than the sum of its proper divisors (1).

20213112102257 is an equidigital number, since it uses as much as digits as its factorization.

20213112102257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 20213112102257 its reverse (75220121131202), we get a palindrome (95433233233459).

The spelling of 20213112102257 in words is "twenty trillion, two hundred thirteen billion, one hundred twelve million, one hundred two thousand, two hundred fifty-seven".