11101012223261 has 2 divisors, whose sum is σ = 11101012223262. Its totient is φ = 11101012223260.

The previous prime is 11101012223239. The next prime is 11101012223281. The reversal of 11101012223261 is 16232221010111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6660172494361 + 4440839728900 = 2580731^2 + 2107330^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101012223261 - 2³⁸ = 10826134316317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101012223281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550506111630 + 5550506111631.

It is an arithmetic number, because the mean of its divisors is an integer number (5550506111631).

Almost surely, 2^{11101012223261} is an apocalyptic number.

It is an amenable number.

11101012223261 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101012223261 is an equidigital number, since it uses as much as digits as its factorization.

11101012223261 is an odious number, because the sum of its binary digits is odd.

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

Adding to 11101012223261 its reverse (16232221010111), we get a palindrome (27333233233372).

The spelling of 11101012223261 in words is "eleven trillion, one hundred one billion, twelve million, two hundred twenty-three thousand, two hundred sixty-one".