11271122112261 has 16 divisors (see below), whose sum is σ = 16837450233408. Its totient is φ = 6646361932800.

The previous prime is 11271122112253. The next prime is 11271122112269. The reversal of 11271122112261 is 16221122117211.

It is an interprime number because it is at equal distance from previous prime (11271122112253) and next prime (11271122112269).

It is not a de Polignac number, because 11271122112261 - 2³ = 11271122112253 is a prime.

It is a super-3 number, since 3×11271122112261³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271122112269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4615527900 + ... + 4615530341.

It is an arithmetic number, because the mean of its divisors is an integer number (1052340639588).

Almost surely, 2^{11271122112261} is an apocalyptic number.

11271122112261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11271122112261 is a deficient number, since it is larger than the sum of its proper divisors (5566328121147).

11271122112261 is a wasteful number, since it uses less digits than its factorization.

11271122112261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9231058292.

The product of its digits is 1344, while the sum is 30.

Adding to 11271122112261 its reverse (16221122117211), we get a palindrome (27492244229472).

The spelling of 11271122112261 in words is "eleven trillion, two hundred seventy-one billion, one hundred twenty-two million, one hundred twelve thousand, two hundred sixty-one".