1011322112261 has 2 divisors, whose sum is σ = 1011322112262. Its totient is φ = 1011322112260.

The previous prime is 1011322112249. The next prime is 1011322112341. The reversal of 1011322112261 is 1622112231101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 711011536225 + 300310576036 = 843215^2 + 548006^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011322112261 - 2⁶ = 1011322112197 is a prime.

It is a super-3 number, since 3×1011322112261³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011322112201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505661056130 + 505661056131.

It is an arithmetic number, because the mean of its divisors is an integer number (505661056131).

Almost surely, 2^{1011322112261} is an apocalyptic number.

It is an amenable number.

1011322112261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011322112261 is an equidigital number, since it uses as much as digits as its factorization.

1011322112261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 1011322112261 its reverse (1622112231101), we get a palindrome (2633434343362).

The spelling of 1011322112261 in words is "one trillion, eleven billion, three hundred twenty-two million, one hundred twelve thousand, two hundred sixty-one".