2012011221257 has 2 divisors, whose sum is σ = 2012011221258. Its totient is φ = 2012011221256.

The previous prime is 2012011221203. The next prime is 2012011221263. The reversal of 2012011221257 is 7521221102102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1781741762761 + 230269458496 = 1334819^2 + 479864^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012011221257 - 2⁶ = 2012011221193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2012011221287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006005610628 + 1006005610629.

It is an arithmetic number, because the mean of its divisors is an integer number (1006005610629).

Almost surely, 2^{2012011221257} is an apocalyptic number.

It is an amenable number.

2012011221257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012011221257 is an equidigital number, since it uses as much as digits as its factorization.

2012011221257 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 2012011221257 its reverse (7521221102102), we get a palindrome (9533232323359).

The spelling of 2012011221257 in words is "two trillion, twelve billion, eleven million, two hundred twenty-one thousand, two hundred fifty-seven".