1011122202257 has 2 divisors, whose sum is σ = 1011122202258. Its totient is φ = 1011122202256.

The previous prime is 1011122202241. The next prime is 1011122202341. The reversal of 1011122202257 is 7522022211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006107296401 + 5014905856 = 1003049^2 + 70816^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011122202257 - 2⁴ = 1011122202241 is a prime.

It is a super-3 number, since 3×1011122202257³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1011122702257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505561101128 + 505561101129.

It is an arithmetic number, because the mean of its divisors is an integer number (505561101129).

Almost surely, 2^{1011122202257} is an apocalyptic number.

It is an amenable number.

1011122202257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011122202257 is an equidigital number, since it uses as much as digits as its factorization.

1011122202257 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 26.

Adding to 1011122202257 its reverse (7522022211101), we get a palindrome (8533144413358).

The spelling of 1011122202257 in words is "one trillion, eleven billion, one hundred twenty-two million, two hundred two thousand, two hundred fifty-seven".