201011212121257 has 2 divisors, whose sum is σ = 201011212121258. Its totient is φ = 201011212121256.

The previous prime is 201011212121191. The next prime is 201011212121261. The reversal of 201011212121257 is 752121212110102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149490456703641 + 51520755417616 = 12226629^2 + 7177796^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201011212121257 is a prime.

It is not a weakly prime, because it can be changed into another prime (201011212121297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100505606060628 + 100505606060629.

It is an arithmetic number, because the mean of its divisors is an integer number (100505606060629).

Almost surely, 2^{201011212121257} is an apocalyptic number.

It is an amenable number.

201011212121257 is a deficient number, since it is larger than the sum of its proper divisors (1).

201011212121257 is an equidigital number, since it uses as much as digits as its factorization.

201011212121257 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 28.

Adding to 201011212121257 its reverse (752121212110102), we get a palindrome (953132424231359).

The spelling of 201011212121257 in words is "two hundred one trillion, eleven billion, two hundred twelve million, one hundred twenty-one thousand, two hundred fifty-seven".