11012101022257 has 2 divisors, whose sum is σ = 11012101022258. Its totient is φ = 11012101022256.

The previous prime is 11012101022191. The next prime is 11012101022267. The reversal of 11012101022257 is 75222010121011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6944300121616 + 4067800900641 = 2635204^2 + 2016879^2 .

It is a cyclic number.

It is not a de Polignac number, because 11012101022257 - 2²⁷ = 11011966804529 is a prime.

It is not a weakly prime, because it can be changed into another prime (11012101022267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5506050511128 + 5506050511129.

It is an arithmetic number, because the mean of its divisors is an integer number (5506050511129).

Almost surely, 2^{11012101022257} is an apocalyptic number.

It is an amenable number.

11012101022257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11012101022257 is an equidigital number, since it uses as much as digits as its factorization.

11012101022257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 25.

Adding to 11012101022257 its reverse (75222010121011), we get a palindrome (86234111143268).

The spelling of 11012101022257 in words is "eleven trillion, twelve billion, one hundred one million, twenty-two thousand, two hundred fifty-seven".