10212121200257 has 2 divisors, whose sum is σ = 10212121200258. Its totient is φ = 10212121200256.

The previous prime is 10212121200233. The next prime is 10212121200289. The reversal of 10212121200257 is 75200212121201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10032416425201 + 179704775056 = 3167399^2 + 423916^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212121200257 - 2³⁰ = 10211047458433 is a prime.

It is not a weakly prime, because it can be changed into another prime (10212121200227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106060600128 + 5106060600129.

It is an arithmetic number, because the mean of its divisors is an integer number (5106060600129).

Almost surely, 2^{10212121200257} is an apocalyptic number.

It is an amenable number.

10212121200257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212121200257 is an equidigital number, since it uses as much as digits as its factorization.

10212121200257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 26.

Adding to 10212121200257 its reverse (75200212121201), we get a palindrome (85412333321458).

The spelling of 10212121200257 in words is "ten trillion, two hundred twelve billion, one hundred twenty-one million, two hundred thousand, two hundred fifty-seven".